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Finding the Fourth Proportional to 885.72, 1,328.64 and 269.46

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Solution

The fourth proportional to 885.72, 1,328.64 and 269.46 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.72 : 1,328.64 = 269.46 : x
  2. Step 2: Convert to fraction form
    885.72/1,328.64 = 269.46/x
  3. Step 3: Cross multiply
    885.72x = 1,328.64 × 269.46
  4. Step 4: Simplify right side
    885.72x = 358,015.33
  5. Step 5: Solve for x
    x = 358,015.33/885.72
  6. Step 6: Final answer
    x = 404.21

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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.