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Finding the Fourth Proportional to 862.35, 1,293.67 and 269.23

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Solution

The fourth proportional to 862.35, 1,293.67 and 269.23 is: 403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.35 : 1,293.67 = 269.23 : x
  2. Step 2: Convert to fraction form
    862.35/1,293.67 = 269.23/x
  3. Step 3: Cross multiply
    862.35x = 1,293.67 × 269.23
  4. Step 4: Simplify right side
    862.35x = 348,294.77
  5. Step 5: Solve for x
    x = 348,294.77/862.35
  6. Step 6: Final answer
    x = 403.89

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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.