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Finding the Fourth Proportional to 273.12, 409.08 and 240.72

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Solution

The fourth proportional to 273.12, 409.08 and 240.72 is: 360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 409.08 = 240.72 : x
  2. Step 2: Convert to fraction form
    273.12/409.08 = 240.72/x
  3. Step 3: Cross multiply
    273.12x = 409.08 × 240.72
  4. Step 4: Simplify right side
    273.12x = 98,473.74
  5. Step 5: Solve for x
    x = 98,473.74/273.12
  6. Step 6: Final answer
    x = 360.55

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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.