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Finding the Fourth Proportional to 886.15, 1,328.77 and 269.74

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Solution

The fourth proportional to 886.15, 1,328.77 and 269.74 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.15 : 1,328.77 = 269.74 : x
  2. Step 2: Convert to fraction form
    886.15/1,328.77 = 269.74/x
  3. Step 3: Cross multiply
    886.15x = 1,328.77 × 269.74
  4. Step 4: Simplify right side
    886.15x = 358,422.42
  5. Step 5: Solve for x
    x = 358,422.42/886.15
  6. Step 6: Final answer
    x = 404.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.