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Finding the Fourth Proportional to 562.91, 777.18 and 353.31

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Solution

The fourth proportional to 562.91, 777.18 and 353.31 is: 487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.91 : 777.18 = 353.31 : x
  2. Step 2: Convert to fraction form
    562.91/777.18 = 353.31/x
  3. Step 3: Cross multiply
    562.91x = 777.18 × 353.31
  4. Step 4: Simplify right side
    562.91x = 274,585.47
  5. Step 5: Solve for x
    x = 274,585.47/562.91
  6. Step 6: Final answer
    x = 487.80

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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.