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Finding the Fourth Proportional to 616.38, 923.95 and 342.60

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Solution

The fourth proportional to 616.38, 923.95 and 342.60 is: 513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.38 : 923.95 = 342.60 : x
  2. Step 2: Convert to fraction form
    616.38/923.95 = 342.60/x
  3. Step 3: Cross multiply
    616.38x = 923.95 × 342.60
  4. Step 4: Simplify right side
    616.38x = 316,545.27
  5. Step 5: Solve for x
    x = 316,545.27/616.38
  6. Step 6: Final answer
    x = 513.56

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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.