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Finding the Fourth Proportional to 885.68, 1,328.18 and 269.56

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Solution

The fourth proportional to 885.68, 1,328.18 and 269.56 is: 404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.68 : 1,328.18 = 269.56 : x
  2. Step 2: Convert to fraction form
    885.68/1,328.18 = 269.56/x
  3. Step 3: Cross multiply
    885.68x = 1,328.18 × 269.56
  4. Step 4: Simplify right side
    885.68x = 358,024.20
  5. Step 5: Solve for x
    x = 358,024.20/885.68
  6. Step 6: Final answer
    x = 404.24

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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.