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Finding the Fourth Proportional to 470.76, 706.32 and 178.24

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Solution

The fourth proportional to 470.76, 706.32 and 178.24 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 706.32 = 178.24 : x
  2. Step 2: Convert to fraction form
    470.76/706.32 = 178.24/x
  3. Step 3: Cross multiply
    470.76x = 706.32 × 178.24
  4. Step 4: Simplify right side
    470.76x = 125,894.48
  5. Step 5: Solve for x
    x = 125,894.48/470.76
  6. Step 6: Final answer
    x = 267.43

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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.