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Finding the Fourth Proportional to 387.28, 580.51 and 194.50

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Solution

The fourth proportional to 387.28, 580.51 and 194.50 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.28 : 580.51 = 194.50 : x
  2. Step 2: Convert to fraction form
    387.28/580.51 = 194.50/x
  3. Step 3: Cross multiply
    387.28x = 580.51 × 194.50
  4. Step 4: Simplify right side
    387.28x = 112,909.20
  5. Step 5: Solve for x
    x = 112,909.20/387.28
  6. Step 6: Final answer
    x = 291.54

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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.