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Finding the Fourth Proportional to 471.98, 708.03 and 179.66

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Solution

The fourth proportional to 471.98, 708.03 and 179.66 is: 269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.98 : 708.03 = 179.66 : x
  2. Step 2: Convert to fraction form
    471.98/708.03 = 179.66/x
  3. Step 3: Cross multiply
    471.98x = 708.03 × 179.66
  4. Step 4: Simplify right side
    471.98x = 127,204.67
  5. Step 5: Solve for x
    x = 127,204.67/471.98
  6. Step 6: Final answer
    x = 269.51

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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.