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Finding the Fourth Proportional to 624.19, 861.42 and 358.65

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Solution

The fourth proportional to 624.19, 861.42 and 358.65 is: 494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.19 : 861.42 = 358.65 : x
  2. Step 2: Convert to fraction form
    624.19/861.42 = 358.65/x
  3. Step 3: Cross multiply
    624.19x = 861.42 × 358.65
  4. Step 4: Simplify right side
    624.19x = 308,948.28
  5. Step 5: Solve for x
    x = 308,948.28/624.19
  6. Step 6: Final answer
    x = 494.96

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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.