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Finding the Fourth Proportional to 472.34, 708.46 and 147.69

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Solution

The fourth proportional to 472.34, 708.46 and 147.69 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 708.46 = 147.69 : x
  2. Step 2: Convert to fraction form
    472.34/708.46 = 147.69/x
  3. Step 3: Cross multiply
    472.34x = 708.46 × 147.69
  4. Step 4: Simplify right side
    472.34x = 104,632.46
  5. Step 5: Solve for x
    x = 104,632.46/472.34
  6. Step 6: Final answer
    x = 221.52

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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.