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Finding the Fourth Proportional to 472.14, 708.01 and 225.34

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Solution

The fourth proportional to 472.14, 708.01 and 225.34 is: 337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 708.01 = 225.34 : x
  2. Step 2: Convert to fraction form
    472.14/708.01 = 225.34/x
  3. Step 3: Cross multiply
    472.14x = 708.01 × 225.34
  4. Step 4: Simplify right side
    472.14x = 159,542.97
  5. Step 5: Solve for x
    x = 159,542.97/472.14
  6. Step 6: Final answer
    x = 337.91

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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.