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Finding the Fourth Proportional to 818.29, 1,227.74 and 379.76

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Solution

The fourth proportional to 818.29, 1,227.74 and 379.76 is: 569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.29 : 1,227.74 = 379.76 : x
  2. Step 2: Convert to fraction form
    818.29/1,227.74 = 379.76/x
  3. Step 3: Cross multiply
    818.29x = 1,227.74 × 379.76
  4. Step 4: Simplify right side
    818.29x = 466,238.50
  5. Step 5: Solve for x
    x = 466,238.50/818.29
  6. Step 6: Final answer
    x = 569.77

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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.