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Finding the Fourth Proportional to 472.53, 708.43 and 225.61

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Solution

The fourth proportional to 472.53, 708.43 and 225.61 is: 338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 708.43 = 225.61 : x
  2. Step 2: Convert to fraction form
    472.53/708.43 = 225.61/x
  3. Step 3: Cross multiply
    472.53x = 708.43 × 225.61
  4. Step 4: Simplify right side
    472.53x = 159,828.89
  5. Step 5: Solve for x
    x = 159,828.89/472.53
  6. Step 6: Final answer
    x = 338.24

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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.