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Finding the Fourth Proportional to 470.93, 706.41 and 178.52

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Solution

The fourth proportional to 470.93, 706.41 and 178.52 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.93 : 706.41 = 178.52 : x
  2. Step 2: Convert to fraction form
    470.93/706.41 = 178.52/x
  3. Step 3: Cross multiply
    470.93x = 706.41 × 178.52
  4. Step 4: Simplify right side
    470.93x = 126,104.78
  5. Step 5: Solve for x
    x = 126,104.78/470.93
  6. Step 6: Final answer
    x = 267.78

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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.