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Finding the Fourth Proportional to 618.29, 925.68 and 412.46

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Solution

The fourth proportional to 618.29, 925.68 and 412.46 is: 617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.29 : 925.68 = 412.46 : x
  2. Step 2: Convert to fraction form
    618.29/925.68 = 412.46/x
  3. Step 3: Cross multiply
    618.29x = 925.68 × 412.46
  4. Step 4: Simplify right side
    618.29x = 381,805.97
  5. Step 5: Solve for x
    x = 381,805.97/618.29
  6. Step 6: Final answer
    x = 617.52

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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.