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Finding the Fourth Proportional to 624.38, 861.65 and 362.40

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Solution

The fourth proportional to 624.38, 861.65 and 362.40 is: 500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.38 : 861.65 = 362.40 : x
  2. Step 2: Convert to fraction form
    624.38/861.65 = 362.40/x
  3. Step 3: Cross multiply
    624.38x = 861.65 × 362.40
  4. Step 4: Simplify right side
    624.38x = 312,261.96
  5. Step 5: Solve for x
    x = 312,261.96/624.38
  6. Step 6: Final answer
    x = 500.12

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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.