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Finding the Fourth Proportional to 349.44, 523.84 and 130.02

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Solution

The fourth proportional to 349.44, 523.84 and 130.02 is: 194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 523.84 = 130.02 : x
  2. Step 2: Convert to fraction form
    349.44/523.84 = 130.02/x
  3. Step 3: Cross multiply
    349.44x = 523.84 × 130.02
  4. Step 4: Simplify right side
    349.44x = 68,109.68
  5. Step 5: Solve for x
    x = 68,109.68/349.44
  6. Step 6: Final answer
    x = 194.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.