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Finding the Fourth Proportional to 471.71, 651.15 and 306.20

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Solution

The fourth proportional to 471.71, 651.15 and 306.20 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.71 : 651.15 = 306.20 : x
  2. Step 2: Convert to fraction form
    471.71/651.15 = 306.20/x
  3. Step 3: Cross multiply
    471.71x = 651.15 × 306.20
  4. Step 4: Simplify right side
    471.71x = 199,378.87
  5. Step 5: Solve for x
    x = 199,378.87/471.71
  6. Step 6: Final answer
    x = 422.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.