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Finding the Fourth Proportional to 366.60, 550.16 and 270.64

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Solution

The fourth proportional to 366.60, 550.16 and 270.64 is: 406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.60 : 550.16 = 270.64 : x
  2. Step 2: Convert to fraction form
    366.60/550.16 = 270.64/x
  3. Step 3: Cross multiply
    366.60x = 550.16 × 270.64
  4. Step 4: Simplify right side
    366.60x = 148,895.30
  5. Step 5: Solve for x
    x = 148,895.30/366.60
  6. Step 6: Final answer
    x = 406.15

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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.