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Finding the Fourth Proportional to 877.26, 1,316.06 and 364.26

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Solution

The fourth proportional to 877.26, 1,316.06 and 364.26 is: 546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.26 : 1,316.06 = 364.26 : x
  2. Step 2: Convert to fraction form
    877.26/1,316.06 = 364.26/x
  3. Step 3: Cross multiply
    877.26x = 1,316.06 × 364.26
  4. Step 4: Simplify right side
    877.26x = 479,388.02
  5. Step 5: Solve for x
    x = 479,388.02/877.26
  6. Step 6: Final answer
    x = 546.46

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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.