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Finding the Fourth Proportional to 484, 725.92 and 339.28

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Solution

The fourth proportional to 484, 725.92 and 339.28 is: 508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 725.92 = 339.28 : x
  2. Step 2: Convert to fraction form
    484/725.92 = 339.28/x
  3. Step 3: Cross multiply
    484x = 725.92 × 339.28
  4. Step 4: Simplify right side
    484x = 246,290.14
  5. Step 5: Solve for x
    x = 246,290.14/484
  6. Step 6: Final answer
    x = 508.86

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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.