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Finding the Fourth Proportional to 472.74, 708.88 and 164.61

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Solution

The fourth proportional to 472.74, 708.88 and 164.61 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 708.88 = 164.61 : x
  2. Step 2: Convert to fraction form
    472.74/708.88 = 164.61/x
  3. Step 3: Cross multiply
    472.74x = 708.88 × 164.61
  4. Step 4: Simplify right side
    472.74x = 116,688.74
  5. Step 5: Solve for x
    x = 116,688.74/472.74
  6. Step 6: Final answer
    x = 246.83

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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.