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Finding the Fourth Proportional to 616.44, 925.08 and 462.56

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Solution

The fourth proportional to 616.44, 925.08 and 462.56 is: 694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 925.08 = 462.56 : x
  2. Step 2: Convert to fraction form
    616.44/925.08 = 462.56/x
  3. Step 3: Cross multiply
    616.44x = 925.08 × 462.56
  4. Step 4: Simplify right side
    616.44x = 427,905.00
  5. Step 5: Solve for x
    x = 427,905.00/616.44
  6. Step 6: Final answer
    x = 694.16

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