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Finding the Fourth Proportional to 473.29, 708.24 and 349.59

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Solution

The fourth proportional to 473.29, 708.24 and 349.59 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.29 : 708.24 = 349.59 : x
  2. Step 2: Convert to fraction form
    473.29/708.24 = 349.59/x
  3. Step 3: Cross multiply
    473.29x = 708.24 × 349.59
  4. Step 4: Simplify right side
    473.29x = 247,593.62
  5. Step 5: Solve for x
    x = 247,593.62/473.29
  6. Step 6: Final answer
    x = 523.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.