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Finding the Fourth Proportional to 523.76, 723 and 349.04

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Solution

The fourth proportional to 523.76, 723 and 349.04 is: 481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 723 = 349.04 : x
  2. Step 2: Convert to fraction form
    523.76/723 = 349.04/x
  3. Step 3: Cross multiply
    523.76x = 723 × 349.04
  4. Step 4: Simplify right side
    523.76x = 252,355.92
  5. Step 5: Solve for x
    x = 252,355.92/523.76
  6. Step 6: Final answer
    x = 481.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.