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Finding the Fourth Proportional to 624.33, 861.52 and 362.29

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Solution

The fourth proportional to 624.33, 861.52 and 362.29 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.33 : 861.52 = 362.29 : x
  2. Step 2: Convert to fraction form
    624.33/861.52 = 362.29/x
  3. Step 3: Cross multiply
    624.33x = 861.52 × 362.29
  4. Step 4: Simplify right side
    624.33x = 312,120.08
  5. Step 5: Solve for x
    x = 312,120.08/624.33
  6. Step 6: Final answer
    x = 499.93

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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.