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Finding the Fourth Proportional to 482.76, 724.17 and 277.24

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Solution

The fourth proportional to 482.76, 724.17 and 277.24 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 724.17 = 277.24 : x
  2. Step 2: Convert to fraction form
    482.76/724.17 = 277.24/x
  3. Step 3: Cross multiply
    482.76x = 724.17 × 277.24
  4. Step 4: Simplify right side
    482.76x = 200,769.48
  5. Step 5: Solve for x
    x = 200,769.48/482.76
  6. Step 6: Final answer
    x = 415.88

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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.