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Finding the Fourth Proportional to 349.82, 524.04 and 268.26

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Solution

The fourth proportional to 349.82, 524.04 and 268.26 is: 401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.82 : 524.04 = 268.26 : x
  2. Step 2: Convert to fraction form
    349.82/524.04 = 268.26/x
  3. Step 3: Cross multiply
    349.82x = 524.04 × 268.26
  4. Step 4: Simplify right side
    349.82x = 140,578.97
  5. Step 5: Solve for x
    x = 140,578.97/349.82
  6. Step 6: Final answer
    x = 401.86

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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.