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Finding the Fourth Proportional to 314.20, 471.30 and 308.80

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Solution

The fourth proportional to 314.20, 471.30 and 308.80 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 471.30 = 308.80 : x
  2. Step 2: Convert to fraction form
    314.20/471.30 = 308.80/x
  3. Step 3: Cross multiply
    314.20x = 471.30 × 308.80
  4. Step 4: Simplify right side
    314.20x = 145,537.44
  5. Step 5: Solve for x
    x = 145,537.44/314.20
  6. Step 6: Final answer
    x = 463.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.