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Finding the Fourth Proportional to 865.28, 1,298.13 and 280.26

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Solution

The fourth proportional to 865.28, 1,298.13 and 280.26 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.28 : 1,298.13 = 280.26 : x
  2. Step 2: Convert to fraction form
    865.28/1,298.13 = 280.26/x
  3. Step 3: Cross multiply
    865.28x = 1,298.13 × 280.26
  4. Step 4: Simplify right side
    865.28x = 363,812.86
  5. Step 5: Solve for x
    x = 363,812.86/865.28
  6. Step 6: Final answer
    x = 420.46

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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.