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Finding the Fourth Proportional to 288.74, 433.24 and 180.48

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Solution

The fourth proportional to 288.74, 433.24 and 180.48 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.74 : 433.24 = 180.48 : x
  2. Step 2: Convert to fraction form
    288.74/433.24 = 180.48/x
  3. Step 3: Cross multiply
    288.74x = 433.24 × 180.48
  4. Step 4: Simplify right side
    288.74x = 78,191.16
  5. Step 5: Solve for x
    x = 78,191.16/288.74
  6. Step 6: Final answer
    x = 270.80

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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.