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Finding the Fourth Proportional to 288.72, 433.16 and 83.29

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Solution

The fourth proportional to 288.72, 433.16 and 83.29 is: 124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.72 : 433.16 = 83.29 : x
  2. Step 2: Convert to fraction form
    288.72/433.16 = 83.29/x
  3. Step 3: Cross multiply
    288.72x = 433.16 × 83.29
  4. Step 4: Simplify right side
    288.72x = 36,077.90
  5. Step 5: Solve for x
    x = 36,077.90/288.72
  6. Step 6: Final answer
    x = 124.96

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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.