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Finding the Fourth Proportional to 624.22, 861.42 and 362.23

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Solution

The fourth proportional to 624.22, 861.42 and 362.23 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.22 : 861.42 = 362.23 : x
  2. Step 2: Convert to fraction form
    624.22/861.42 = 362.23/x
  3. Step 3: Cross multiply
    624.22x = 861.42 × 362.23
  4. Step 4: Simplify right side
    624.22x = 312,032.17
  5. Step 5: Solve for x
    x = 312,032.17/624.22
  6. Step 6: Final answer
    x = 499.88

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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.