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Finding the Fourth Proportional to 288.87, 431.18 and 264.52

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Solution

The fourth proportional to 288.87, 431.18 and 264.52 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.87 : 431.18 = 264.52 : x
  2. Step 2: Convert to fraction form
    288.87/431.18 = 264.52/x
  3. Step 3: Cross multiply
    288.87x = 431.18 × 264.52
  4. Step 4: Simplify right side
    288.87x = 114,055.73
  5. Step 5: Solve for x
    x = 114,055.73/288.87
  6. Step 6: Final answer
    x = 394.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.