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Finding the Fourth Proportional to 348.06, 477.56 and 337.13

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Solution

The fourth proportional to 348.06, 477.56 and 337.13 is: 462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 477.56 = 337.13 : x
  2. Step 2: Convert to fraction form
    348.06/477.56 = 337.13/x
  3. Step 3: Cross multiply
    348.06x = 477.56 × 337.13
  4. Step 4: Simplify right side
    348.06x = 160,995.73
  5. Step 5: Solve for x
    x = 160,995.73/348.06
  6. Step 6: Final answer
    x = 462.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.