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Finding the Fourth Proportional to 471.06, 706.38 and 239.88

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Solution

The fourth proportional to 471.06, 706.38 and 239.88 is: 359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 706.38 = 239.88 : x
  2. Step 2: Convert to fraction form
    471.06/706.38 = 239.88/x
  3. Step 3: Cross multiply
    471.06x = 706.38 × 239.88
  4. Step 4: Simplify right side
    471.06x = 169,446.43
  5. Step 5: Solve for x
    x = 169,446.43/471.06
  6. Step 6: Final answer
    x = 359.71

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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.