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Finding the Fourth Proportional to 472.47, 708.57 and 179.78

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Solution

The fourth proportional to 472.47, 708.57 and 179.78 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.47 : 708.57 = 179.78 : x
  2. Step 2: Convert to fraction form
    472.47/708.57 = 179.78/x
  3. Step 3: Cross multiply
    472.47x = 708.57 × 179.78
  4. Step 4: Simplify right side
    472.47x = 127,388.49
  5. Step 5: Solve for x
    x = 127,388.49/472.47
  6. Step 6: Final answer
    x = 269.62

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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.