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Finding the Fourth Proportional to 473.49, 709.61 and 229.28

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Solution

The fourth proportional to 473.49, 709.61 and 229.28 is: 343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 709.61 = 229.28 : x
  2. Step 2: Convert to fraction form
    473.49/709.61 = 229.28/x
  3. Step 3: Cross multiply
    473.49x = 709.61 × 229.28
  4. Step 4: Simplify right side
    473.49x = 162,694.69
  5. Step 5: Solve for x
    x = 162,694.69/473.49
  6. Step 6: Final answer
    x = 343.61

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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.