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Finding the Fourth Proportional to 865.41, 1,298.12 and 280.90

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Solution

The fourth proportional to 865.41, 1,298.12 and 280.90 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.41 : 1,298.12 = 280.90 : x
  2. Step 2: Convert to fraction form
    865.41/1,298.12 = 280.90/x
  3. Step 3: Cross multiply
    865.41x = 1,298.12 × 280.90
  4. Step 4: Simplify right side
    865.41x = 364,640.50
  5. Step 5: Solve for x
    x = 364,640.50/865.41
  6. Step 6: Final answer
    x = 421.35

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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.