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Finding the Fourth Proportional to 473.30, 708.92 and 229.31

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Solution

The fourth proportional to 473.30, 708.92 and 229.31 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 708.92 = 229.31 : x
  2. Step 2: Convert to fraction form
    473.30/708.92 = 229.31/x
  3. Step 3: Cross multiply
    473.30x = 708.92 × 229.31
  4. Step 4: Simplify right side
    473.30x = 162,564.79
  5. Step 5: Solve for x
    x = 162,564.79/473.30
  6. Step 6: Final answer
    x = 343.47

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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.