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Finding the Fourth Proportional to 610.29, 842.17 and 348.28

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Solution

The fourth proportional to 610.29, 842.17 and 348.28 is: 480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 842.17 = 348.28 : x
  2. Step 2: Convert to fraction form
    610.29/842.17 = 348.28/x
  3. Step 3: Cross multiply
    610.29x = 842.17 × 348.28
  4. Step 4: Simplify right side
    610.29x = 293,310.97
  5. Step 5: Solve for x
    x = 293,310.97/610.29
  6. Step 6: Final answer
    x = 480.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.