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Finding the Fourth Proportional to 865.34, 1,298.12 and 280.39

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Solution

The fourth proportional to 865.34, 1,298.12 and 280.39 is: 420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.34 : 1,298.12 = 280.39 : x
  2. Step 2: Convert to fraction form
    865.34/1,298.12 = 280.39/x
  3. Step 3: Cross multiply
    865.34x = 1,298.12 × 280.39
  4. Step 4: Simplify right side
    865.34x = 363,975.22
  5. Step 5: Solve for x
    x = 363,975.22/865.34
  6. Step 6: Final answer
    x = 420.61

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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.