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Finding the Fourth Proportional to 471.97, 708 and 179.47

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Solution

The fourth proportional to 471.97, 708 and 179.47 is: 269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 708 = 179.47 : x
  2. Step 2: Convert to fraction form
    471.97/708 = 179.47/x
  3. Step 3: Cross multiply
    471.97x = 708 × 179.47
  4. Step 4: Simplify right side
    471.97x = 127,064.76
  5. Step 5: Solve for x
    x = 127,064.76/471.97
  6. Step 6: Final answer
    x = 269.22

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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.