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Finding the Fourth Proportional to 565.40, 847.60 and 272.75

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Solution

The fourth proportional to 565.40, 847.60 and 272.75 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 847.60 = 272.75 : x
  2. Step 2: Convert to fraction form
    565.40/847.60 = 272.75/x
  3. Step 3: Cross multiply
    565.40x = 847.60 × 272.75
  4. Step 4: Simplify right side
    565.40x = 231,182.90
  5. Step 5: Solve for x
    x = 231,182.90/565.40
  6. Step 6: Final answer
    x = 408.88

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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.