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Finding the Fourth Proportional to 616.53, 925.42 and 443.40

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Solution

The fourth proportional to 616.53, 925.42 and 443.40 is: 665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.53 : 925.42 = 443.40 : x
  2. Step 2: Convert to fraction form
    616.53/925.42 = 443.40/x
  3. Step 3: Cross multiply
    616.53x = 925.42 × 443.40
  4. Step 4: Simplify right side
    616.53x = 410,331.23
  5. Step 5: Solve for x
    x = 410,331.23/616.53
  6. Step 6: Final answer
    x = 665.55

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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.