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Finding the Fourth Proportional to 288.11, 431.71 and 277.43

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Solution

The fourth proportional to 288.11, 431.71 and 277.43 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.11 : 431.71 = 277.43 : x
  2. Step 2: Convert to fraction form
    288.11/431.71 = 277.43/x
  3. Step 3: Cross multiply
    288.11x = 431.71 × 277.43
  4. Step 4: Simplify right side
    288.11x = 119,769.31
  5. Step 5: Solve for x
    x = 119,769.31/288.11
  6. Step 6: Final answer
    x = 415.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.