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Finding the Fourth Proportional to 618.60, 925.10 and 462.54

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Solution

The fourth proportional to 618.60, 925.10 and 462.54 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.60 : 925.10 = 462.54 : x
  2. Step 2: Convert to fraction form
    618.60/925.10 = 462.54/x
  3. Step 3: Cross multiply
    618.60x = 925.10 × 462.54
  4. Step 4: Simplify right side
    618.60x = 427,893.44
  5. Step 5: Solve for x
    x = 427,893.44/618.60
  6. Step 6: Final answer
    x = 691.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.