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Finding the Fourth Proportional to 473.46, 709.49 and 229.71

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Solution

The fourth proportional to 473.46, 709.49 and 229.71 is: 344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 709.49 = 229.71 : x
  2. Step 2: Convert to fraction form
    473.46/709.49 = 229.71/x
  3. Step 3: Cross multiply
    473.46x = 709.49 × 229.71
  4. Step 4: Simplify right side
    473.46x = 162,976.95
  5. Step 5: Solve for x
    x = 162,976.95/473.46
  6. Step 6: Final answer
    x = 344.23

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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.