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Finding the Fourth Proportional to 349.42, 523.82 and 175.84

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Solution

The fourth proportional to 349.42, 523.82 and 175.84 is: 263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.42 : 523.82 = 175.84 : x
  2. Step 2: Convert to fraction form
    349.42/523.82 = 175.84/x
  3. Step 3: Cross multiply
    349.42x = 523.82 × 175.84
  4. Step 4: Simplify right side
    349.42x = 92,105.89
  5. Step 5: Solve for x
    x = 92,105.89/349.42
  6. Step 6: Final answer
    x = 263.60

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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.