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Finding the Fourth Proportional to 291.20, 436.83 and 74.78

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Solution

The fourth proportional to 291.20, 436.83 and 74.78 is: 112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.20 : 436.83 = 74.78 : x
  2. Step 2: Convert to fraction form
    291.20/436.83 = 74.78/x
  3. Step 3: Cross multiply
    291.20x = 436.83 × 74.78
  4. Step 4: Simplify right side
    291.20x = 32,667.24
  5. Step 5: Solve for x
    x = 32,667.24/291.20
  6. Step 6: Final answer
    x = 112.18

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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.