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Finding the Fourth Proportional to 288.23, 431.95 and 269.77

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Solution

The fourth proportional to 288.23, 431.95 and 269.77 is: 404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 431.95 = 269.77 : x
  2. Step 2: Convert to fraction form
    288.23/431.95 = 269.77/x
  3. Step 3: Cross multiply
    288.23x = 431.95 × 269.77
  4. Step 4: Simplify right side
    288.23x = 116,527.02
  5. Step 5: Solve for x
    x = 116,527.02/288.23
  6. Step 6: Final answer
    x = 404.29

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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.