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Finding the Fourth Proportional to 472.10, 708.22 and 179.72

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Solution

The fourth proportional to 472.10, 708.22 and 179.72 is: 269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.10 : 708.22 = 179.72 : x
  2. Step 2: Convert to fraction form
    472.10/708.22 = 179.72/x
  3. Step 3: Cross multiply
    472.10x = 708.22 × 179.72
  4. Step 4: Simplify right side
    472.10x = 127,281.30
  5. Step 5: Solve for x
    x = 127,281.30/472.10
  6. Step 6: Final answer
    x = 269.61

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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.