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Finding the Fourth Proportional to 562.12, 842.62 and 356.29

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Solution

The fourth proportional to 562.12, 842.62 and 356.29 is: 534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 842.62 = 356.29 : x
  2. Step 2: Convert to fraction form
    562.12/842.62 = 356.29/x
  3. Step 3: Cross multiply
    562.12x = 842.62 × 356.29
  4. Step 4: Simplify right side
    562.12x = 300,218.30
  5. Step 5: Solve for x
    x = 300,218.30/562.12
  6. Step 6: Final answer
    x = 534.08

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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.