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Finding the Fourth Proportional to 862.59, 1,293.96 and 269.57

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Solution

The fourth proportional to 862.59, 1,293.96 and 269.57 is: 404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.59 : 1,293.96 = 269.57 : x
  2. Step 2: Convert to fraction form
    862.59/1,293.96 = 269.57/x
  3. Step 3: Cross multiply
    862.59x = 1,293.96 × 269.57
  4. Step 4: Simplify right side
    862.59x = 348,812.80
  5. Step 5: Solve for x
    x = 348,812.80/862.59
  6. Step 6: Final answer
    x = 404.38

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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.