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Finding the Fourth Proportional to 387.79, 581.69 and 113.82

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Solution

The fourth proportional to 387.79, 581.69 and 113.82 is: 170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.79 : 581.69 = 113.82 : x
  2. Step 2: Convert to fraction form
    387.79/581.69 = 113.82/x
  3. Step 3: Cross multiply
    387.79x = 581.69 × 113.82
  4. Step 4: Simplify right side
    387.79x = 66,208.24
  5. Step 5: Solve for x
    x = 66,208.24/387.79
  6. Step 6: Final answer
    x = 170.73

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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.