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Finding the Fourth Proportional to 348.66, 524.82 and 268.44

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Solution

The fourth proportional to 348.66, 524.82 and 268.44 is: 404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.66 : 524.82 = 268.44 : x
  2. Step 2: Convert to fraction form
    348.66/524.82 = 268.44/x
  3. Step 3: Cross multiply
    348.66x = 524.82 × 268.44
  4. Step 4: Simplify right side
    348.66x = 140,882.68
  5. Step 5: Solve for x
    x = 140,882.68/348.66
  6. Step 6: Final answer
    x = 404.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.