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Finding the Fourth Proportional to 624.29, 861.71 and 403.24

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Solution

The fourth proportional to 624.29, 861.71 and 403.24 is: 556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 861.71 = 403.24 : x
  2. Step 2: Convert to fraction form
    624.29/861.71 = 403.24/x
  3. Step 3: Cross multiply
    624.29x = 861.71 × 403.24
  4. Step 4: Simplify right side
    624.29x = 347,475.94
  5. Step 5: Solve for x
    x = 347,475.94/624.29
  6. Step 6: Final answer
    x = 556.59

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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.