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Finding the Fourth Proportional to 472.41, 708.69 and 147.71

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Solution

The fourth proportional to 472.41, 708.69 and 147.71 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.41 : 708.69 = 147.71 : x
  2. Step 2: Convert to fraction form
    472.41/708.69 = 147.71/x
  3. Step 3: Cross multiply
    472.41x = 708.69 × 147.71
  4. Step 4: Simplify right side
    472.41x = 104,677.06
  5. Step 5: Solve for x
    x = 104,677.06/472.41
  6. Step 6: Final answer
    x = 221.58

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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.