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Finding the Fourth Proportional to 547.67, 821.56 and 269.86

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Solution

The fourth proportional to 547.67, 821.56 and 269.86 is: 404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.67 : 821.56 = 269.86 : x
  2. Step 2: Convert to fraction form
    547.67/821.56 = 269.86/x
  3. Step 3: Cross multiply
    547.67x = 821.56 × 269.86
  4. Step 4: Simplify right side
    547.67x = 221,706.86
  5. Step 5: Solve for x
    x = 221,706.86/547.67
  6. Step 6: Final answer
    x = 404.82

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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.