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Finding the Fourth Proportional to 387.79, 580.87 and 242.80

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Solution

The fourth proportional to 387.79, 580.87 and 242.80 is: 363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.79 : 580.87 = 242.80 : x
  2. Step 2: Convert to fraction form
    387.79/580.87 = 242.80/x
  3. Step 3: Cross multiply
    387.79x = 580.87 × 242.80
  4. Step 4: Simplify right side
    387.79x = 141,034.09
  5. Step 5: Solve for x
    x = 141,034.09/387.79
  6. Step 6: Final answer
    x = 363.69

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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.