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Finding the Fourth Proportional to 349.31, 524.10 and 175.97

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Solution

The fourth proportional to 349.31, 524.10 and 175.97 is: 264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 524.10 = 175.97 : x
  2. Step 2: Convert to fraction form
    349.31/524.10 = 175.97/x
  3. Step 3: Cross multiply
    349.31x = 524.10 × 175.97
  4. Step 4: Simplify right side
    349.31x = 92,227.85
  5. Step 5: Solve for x
    x = 92,227.85/349.31
  6. Step 6: Final answer
    x = 264.03

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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.