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Finding the Fourth Proportional to 837.28, 1,255.56 and 317.19

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Solution

The fourth proportional to 837.28, 1,255.56 and 317.19 is: 475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.28 : 1,255.56 = 317.19 : x
  2. Step 2: Convert to fraction form
    837.28/1,255.56 = 317.19/x
  3. Step 3: Cross multiply
    837.28x = 1,255.56 × 317.19
  4. Step 4: Simplify right side
    837.28x = 398,251.08
  5. Step 5: Solve for x
    x = 398,251.08/837.28
  6. Step 6: Final answer
    x = 475.65

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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.