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Finding the Fourth Proportional to 865.55, 1,298.25 and 280.55

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Solution

The fourth proportional to 865.55, 1,298.25 and 280.55 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.55 : 1,298.25 = 280.55 : x
  2. Step 2: Convert to fraction form
    865.55/1,298.25 = 280.55/x
  3. Step 3: Cross multiply
    865.55x = 1,298.25 × 280.55
  4. Step 4: Simplify right side
    865.55x = 364,217.55
  5. Step 5: Solve for x
    x = 364,217.55/865.55
  6. Step 6: Final answer
    x = 420.80

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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.