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Finding the Fourth Proportional to 484.23, 724.99 and 252.62

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Solution

The fourth proportional to 484.23, 724.99 and 252.62 is: 378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.23 : 724.99 = 252.62 : x
  2. Step 2: Convert to fraction form
    484.23/724.99 = 252.62/x
  3. Step 3: Cross multiply
    484.23x = 724.99 × 252.62
  4. Step 4: Simplify right side
    484.23x = 183,146.97
  5. Step 5: Solve for x
    x = 183,146.97/484.23
  6. Step 6: Final answer
    x = 378.22

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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.