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Finding the Fourth Proportional to 624.06, 861.39 and 499.68

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Solution

The fourth proportional to 624.06, 861.39 and 499.68 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.06 : 861.39 = 499.68 : x
  2. Step 2: Convert to fraction form
    624.06/861.39 = 499.68/x
  3. Step 3: Cross multiply
    624.06x = 861.39 × 499.68
  4. Step 4: Simplify right side
    624.06x = 430,419.36
  5. Step 5: Solve for x
    x = 430,419.36/624.06
  6. Step 6: Final answer
    x = 689.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.