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Finding the Fourth Proportional to 616.40, 923.33 and 410.30

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Solution

The fourth proportional to 616.40, 923.33 and 410.30 is: 614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 923.33 = 410.30 : x
  2. Step 2: Convert to fraction form
    616.40/923.33 = 410.30/x
  3. Step 3: Cross multiply
    616.40x = 923.33 × 410.30
  4. Step 4: Simplify right side
    616.40x = 378,844.61
  5. Step 5: Solve for x
    x = 378,844.61/616.40
  6. Step 6: Final answer
    x = 614.61

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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.