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Finding the Fourth Proportional to 537.20, 806.08 and 293.76

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Solution

The fourth proportional to 537.20, 806.08 and 293.76 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.20 : 806.08 = 293.76 : x
  2. Step 2: Convert to fraction form
    537.20/806.08 = 293.76/x
  3. Step 3: Cross multiply
    537.20x = 806.08 × 293.76
  4. Step 4: Simplify right side
    537.20x = 236,794.06
  5. Step 5: Solve for x
    x = 236,794.06/537.20
  6. Step 6: Final answer
    x = 440.79

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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.