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Finding the Fourth Proportional to 552.72, 762.92 and 442.16

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Solution

The fourth proportional to 552.72, 762.92 and 442.16 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 762.92 = 442.16 : x
  2. Step 2: Convert to fraction form
    552.72/762.92 = 442.16/x
  3. Step 3: Cross multiply
    552.72x = 762.92 × 442.16
  4. Step 4: Simplify right side
    552.72x = 337,332.71
  5. Step 5: Solve for x
    x = 337,332.71/552.72
  6. Step 6: Final answer
    x = 610.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.