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Finding the Fourth Proportional to 288.52, 431.75 and 269.22

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Solution

The fourth proportional to 288.52, 431.75 and 269.22 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 431.75 = 269.22 : x
  2. Step 2: Convert to fraction form
    288.52/431.75 = 269.22/x
  3. Step 3: Cross multiply
    288.52x = 431.75 × 269.22
  4. Step 4: Simplify right side
    288.52x = 116,235.74
  5. Step 5: Solve for x
    x = 116,235.74/288.52
  6. Step 6: Final answer
    x = 402.87

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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.