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Finding the Fourth Proportional to 288.45, 431.89 and 218.83

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Solution

The fourth proportional to 288.45, 431.89 and 218.83 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.45 : 431.89 = 218.83 : x
  2. Step 2: Convert to fraction form
    288.45/431.89 = 218.83/x
  3. Step 3: Cross multiply
    288.45x = 431.89 × 218.83
  4. Step 4: Simplify right side
    288.45x = 94,510.49
  5. Step 5: Solve for x
    x = 94,510.49/288.45
  6. Step 6: Final answer
    x = 327.65

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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.