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Finding the Fourth Proportional to 337.92, 510 and 329.28

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Solution

The fourth proportional to 337.92, 510 and 329.28 is: 496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 510 = 329.28 : x
  2. Step 2: Convert to fraction form
    337.92/510 = 329.28/x
  3. Step 3: Cross multiply
    337.92x = 510 × 329.28
  4. Step 4: Simplify right side
    337.92x = 167,932.80
  5. Step 5: Solve for x
    x = 167,932.80/337.92
  6. Step 6: Final answer
    x = 496.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.