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Finding the Fourth Proportional to 865.62, 1,298.10 and 249.11

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Solution

The fourth proportional to 865.62, 1,298.10 and 249.11 is: 373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.62 : 1,298.10 = 249.11 : x
  2. Step 2: Convert to fraction form
    865.62/1,298.10 = 249.11/x
  3. Step 3: Cross multiply
    865.62x = 1,298.10 × 249.11
  4. Step 4: Simplify right side
    865.62x = 323,374.57
  5. Step 5: Solve for x
    x = 323,374.57/865.62
  6. Step 6: Final answer
    x = 373.58

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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.