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Finding the Fourth Proportional to 584.81, 877.41 and 292.26

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Solution

The fourth proportional to 584.81, 877.41 and 292.26 is: 438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 877.41 = 292.26 : x
  2. Step 2: Convert to fraction form
    584.81/877.41 = 292.26/x
  3. Step 3: Cross multiply
    584.81x = 877.41 × 292.26
  4. Step 4: Simplify right side
    584.81x = 256,431.85
  5. Step 5: Solve for x
    x = 256,431.85/584.81
  6. Step 6: Final answer
    x = 438.49

Related Problems

Find fourth proportional to 292.40, 438.71 and 146.13
Half scale
Find fourth proportional to 1,169.61, 1,754.82 and 584.52
Double scale
Find fourth proportional to 585.81, 878.91 and 293.26
Similar ratio
Find fourth proportional to 877.21, 1,316.12 and 438.39
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.