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Finding the Fourth Proportional to 562.31, 842.92 and 356.36

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Solution

The fourth proportional to 562.31, 842.92 and 356.36 is: 534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.31 : 842.92 = 356.36 : x
  2. Step 2: Convert to fraction form
    562.31/842.92 = 356.36/x
  3. Step 3: Cross multiply
    562.31x = 842.92 × 356.36
  4. Step 4: Simplify right side
    562.31x = 300,381.19
  5. Step 5: Solve for x
    x = 300,381.19/562.31
  6. Step 6: Final answer
    x = 534.20

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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.