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Finding the Fourth Proportional to 584.94, 877.16 and 292.33

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Solution

The fourth proportional to 584.94, 877.16 and 292.33 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.94 : 877.16 = 292.33 : x
  2. Step 2: Convert to fraction form
    584.94/877.16 = 292.33/x
  3. Step 3: Cross multiply
    584.94x = 877.16 × 292.33
  4. Step 4: Simplify right side
    584.94x = 256,422.01
  5. Step 5: Solve for x
    x = 256,422.01/584.94
  6. Step 6: Final answer
    x = 438.37

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