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Finding the Fourth Proportional to 387.74, 580.76 and 242.76

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Solution

The fourth proportional to 387.74, 580.76 and 242.76 is: 363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.74 : 580.76 = 242.76 : x
  2. Step 2: Convert to fraction form
    387.74/580.76 = 242.76/x
  3. Step 3: Cross multiply
    387.74x = 580.76 × 242.76
  4. Step 4: Simplify right side
    387.74x = 140,985.30
  5. Step 5: Solve for x
    x = 140,985.30/387.74
  6. Step 6: Final answer
    x = 363.61

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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.