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Finding the Fourth Proportional to 562.32, 844.89 and 356.97

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Solution

The fourth proportional to 562.32, 844.89 and 356.97 is: 536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 844.89 = 356.97 : x
  2. Step 2: Convert to fraction form
    562.32/844.89 = 356.97/x
  3. Step 3: Cross multiply
    562.32x = 844.89 × 356.97
  4. Step 4: Simplify right side
    562.32x = 301,600.38
  5. Step 5: Solve for x
    x = 301,600.38/562.32
  6. Step 6: Final answer
    x = 536.35

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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.