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Finding the Fourth Proportional to 624.25, 861.42 and 428.05

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Solution

The fourth proportional to 624.25, 861.42 and 428.05 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.25 : 861.42 = 428.05 : x
  2. Step 2: Convert to fraction form
    624.25/861.42 = 428.05/x
  3. Step 3: Cross multiply
    624.25x = 861.42 × 428.05
  4. Step 4: Simplify right side
    624.25x = 368,730.83
  5. Step 5: Solve for x
    x = 368,730.83/624.25
  6. Step 6: Final answer
    x = 590.68

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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.