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Finding the Fourth Proportional to 865.36, 1,298.10 and 280.20

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Solution

The fourth proportional to 865.36, 1,298.10 and 280.20 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.36 : 1,298.10 = 280.20 : x
  2. Step 2: Convert to fraction form
    865.36/1,298.10 = 280.20/x
  3. Step 3: Cross multiply
    865.36x = 1,298.10 × 280.20
  4. Step 4: Simplify right side
    865.36x = 363,727.62
  5. Step 5: Solve for x
    x = 363,727.62/865.36
  6. Step 6: Final answer
    x = 420.32

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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.