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Finding the Fourth Proportional to 547.14, 819.59 and 268.65

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Solution

The fourth proportional to 547.14, 819.59 and 268.65 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.14 : 819.59 = 268.65 : x
  2. Step 2: Convert to fraction form
    547.14/819.59 = 268.65/x
  3. Step 3: Cross multiply
    547.14x = 819.59 × 268.65
  4. Step 4: Simplify right side
    547.14x = 220,181.51
  5. Step 5: Solve for x
    x = 220,181.51/547.14
  6. Step 6: Final answer
    x = 402.42

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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.