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Finding the Fourth Proportional to 471.30, 706.61 and 178.78

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Solution

The fourth proportional to 471.30, 706.61 and 178.78 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.30 : 706.61 = 178.78 : x
  2. Step 2: Convert to fraction form
    471.30/706.61 = 178.78/x
  3. Step 3: Cross multiply
    471.30x = 706.61 × 178.78
  4. Step 4: Simplify right side
    471.30x = 126,327.74
  5. Step 5: Solve for x
    x = 126,327.74/471.30
  6. Step 6: Final answer
    x = 268.04

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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.