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Finding the Fourth Proportional to 624.38, 861.69 and 362.42

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Solution

The fourth proportional to 624.38, 861.69 and 362.42 is: 500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.38 : 861.69 = 362.42 : x
  2. Step 2: Convert to fraction form
    624.38/861.69 = 362.42/x
  3. Step 3: Cross multiply
    624.38x = 861.69 × 362.42
  4. Step 4: Simplify right side
    624.38x = 312,293.69
  5. Step 5: Solve for x
    x = 312,293.69/624.38
  6. Step 6: Final answer
    x = 500.17

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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.