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Finding the Fourth Proportional to 818.08, 1,227.30 and 385

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Solution

The fourth proportional to 818.08, 1,227.30 and 385 is: 577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.08 : 1,227.30 = 385 : x
  2. Step 2: Convert to fraction form
    818.08/1,227.30 = 385/x
  3. Step 3: Cross multiply
    818.08x = 1,227.30 × 385
  4. Step 4: Simplify right side
    818.08x = 472,510.50
  5. Step 5: Solve for x
    x = 472,510.50/818.08
  6. Step 6: Final answer
    x = 577.58

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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.