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Finding the Fourth Proportional to 471.14, 706.26 and 308.96

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Solution

The fourth proportional to 471.14, 706.26 and 308.96 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 706.26 = 308.96 : x
  2. Step 2: Convert to fraction form
    471.14/706.26 = 308.96/x
  3. Step 3: Cross multiply
    471.14x = 706.26 × 308.96
  4. Step 4: Simplify right side
    471.14x = 218,206.09
  5. Step 5: Solve for x
    x = 218,206.09/471.14
  6. Step 6: Final answer
    x = 463.14

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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.