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Finding the Fourth Proportional to 484.57, 725.31 and 253.14

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Solution

The fourth proportional to 484.57, 725.31 and 253.14 is: 378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.57 : 725.31 = 253.14 : x
  2. Step 2: Convert to fraction form
    484.57/725.31 = 253.14/x
  3. Step 3: Cross multiply
    484.57x = 725.31 × 253.14
  4. Step 4: Simplify right side
    484.57x = 183,604.97
  5. Step 5: Solve for x
    x = 183,604.97/484.57
  6. Step 6: Final answer
    x = 378.90

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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.