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Finding the Fourth Proportional to 818.90, 1,227.24 and 380

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Solution

The fourth proportional to 818.90, 1,227.24 and 380 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.90 : 1,227.24 = 380 : x
  2. Step 2: Convert to fraction form
    818.90/1,227.24 = 380/x
  3. Step 3: Cross multiply
    818.90x = 1,227.24 × 380
  4. Step 4: Simplify right side
    818.90x = 466,351.20
  5. Step 5: Solve for x
    x = 466,351.20/818.90
  6. Step 6: Final answer
    x = 569.48

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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.