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Finding the Fourth Proportional to 472.71, 707.55 and 252.79

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Solution

The fourth proportional to 472.71, 707.55 and 252.79 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 707.55 = 252.79 : x
  2. Step 2: Convert to fraction form
    472.71/707.55 = 252.79/x
  3. Step 3: Cross multiply
    472.71x = 707.55 × 252.79
  4. Step 4: Simplify right side
    472.71x = 178,859.80
  5. Step 5: Solve for x
    x = 178,859.80/472.71
  6. Step 6: Final answer
    x = 378.37

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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.