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Finding the Fourth Proportional to 624.31, 861.74 and 499.93

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Solution

The fourth proportional to 624.31, 861.74 and 499.93 is: 690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.31 : 861.74 = 499.93 : x
  2. Step 2: Convert to fraction form
    624.31/861.74 = 499.93/x
  3. Step 3: Cross multiply
    624.31x = 861.74 × 499.93
  4. Step 4: Simplify right side
    624.31x = 430,809.68
  5. Step 5: Solve for x
    x = 430,809.68/624.31
  6. Step 6: Final answer
    x = 690.06

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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.