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Finding the Fourth Proportional to 624.96, 861.78 and 428.16

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Solution

The fourth proportional to 624.96, 861.78 and 428.16 is: 590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 861.78 = 428.16 : x
  2. Step 2: Convert to fraction form
    624.96/861.78 = 428.16/x
  3. Step 3: Cross multiply
    624.96x = 861.78 × 428.16
  4. Step 4: Simplify right side
    624.96x = 368,979.72
  5. Step 5: Solve for x
    x = 368,979.72/624.96
  6. Step 6: Final answer
    x = 590.41

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Why These Related Problems?

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