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Finding the Fourth Proportional to 961.16, 1,441.34 and 344.75

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Solution

The fourth proportional to 961.16, 1,441.34 and 344.75 is: 516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.16 : 1,441.34 = 344.75 : x
  2. Step 2: Convert to fraction form
    961.16/1,441.34 = 344.75/x
  3. Step 3: Cross multiply
    961.16x = 1,441.34 × 344.75
  4. Step 4: Simplify right side
    961.16x = 496,900.24
  5. Step 5: Solve for x
    x = 496,900.24/961.16
  6. Step 6: Final answer
    x = 516.98

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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.