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Finding the Fourth Proportional to 471.40, 706.18 and 308.59

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Solution

The fourth proportional to 471.40, 706.18 and 308.59 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.40 : 706.18 = 308.59 : x
  2. Step 2: Convert to fraction form
    471.40/706.18 = 308.59/x
  3. Step 3: Cross multiply
    471.40x = 706.18 × 308.59
  4. Step 4: Simplify right side
    471.40x = 217,920.09
  5. Step 5: Solve for x
    x = 217,920.09/471.40
  6. Step 6: Final answer
    x = 462.28

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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.