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Finding the Fourth Proportional to 562.31, 775.92 and 338.20

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Solution

The fourth proportional to 562.31, 775.92 and 338.20 is: 466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.31 : 775.92 = 338.20 : x
  2. Step 2: Convert to fraction form
    562.31/775.92 = 338.20/x
  3. Step 3: Cross multiply
    562.31x = 775.92 × 338.20
  4. Step 4: Simplify right side
    562.31x = 262,416.14
  5. Step 5: Solve for x
    x = 262,416.14/562.31
  6. Step 6: Final answer
    x = 466.68

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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.