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Finding the Fourth Proportional to 471.66, 707.26 and 179.04

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Solution

The fourth proportional to 471.66, 707.26 and 179.04 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 707.26 = 179.04 : x
  2. Step 2: Convert to fraction form
    471.66/707.26 = 179.04/x
  3. Step 3: Cross multiply
    471.66x = 707.26 × 179.04
  4. Step 4: Simplify right side
    471.66x = 126,627.83
  5. Step 5: Solve for x
    x = 126,627.83/471.66
  6. Step 6: Final answer
    x = 268.47

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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.