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Finding the Fourth Proportional to 624.20, 861.44 and 362.21

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Solution

The fourth proportional to 624.20, 861.44 and 362.21 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.20 : 861.44 = 362.21 : x
  2. Step 2: Convert to fraction form
    624.20/861.44 = 362.21/x
  3. Step 3: Cross multiply
    624.20x = 861.44 × 362.21
  4. Step 4: Simplify right side
    624.20x = 312,016.06
  5. Step 5: Solve for x
    x = 312,016.06/624.20
  6. Step 6: Final answer
    x = 499.87

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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.