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Finding the Fourth Proportional to 886.19, 1,328.76 and 269.71

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Solution

The fourth proportional to 886.19, 1,328.76 and 269.71 is: 404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.19 : 1,328.76 = 269.71 : x
  2. Step 2: Convert to fraction form
    886.19/1,328.76 = 269.71/x
  3. Step 3: Cross multiply
    886.19x = 1,328.76 × 269.71
  4. Step 4: Simplify right side
    886.19x = 358,376.54
  5. Step 5: Solve for x
    x = 358,376.54/886.19
  6. Step 6: Final answer
    x = 404.40

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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.