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Finding the Fourth Proportional to 385.05, 534.09 and 371.22

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Solution

The fourth proportional to 385.05, 534.09 and 371.22 is: 514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.05 : 534.09 = 371.22 : x
  2. Step 2: Convert to fraction form
    385.05/534.09 = 371.22/x
  3. Step 3: Cross multiply
    385.05x = 534.09 × 371.22
  4. Step 4: Simplify right side
    385.05x = 198,264.89
  5. Step 5: Solve for x
    x = 198,264.89/385.05
  6. Step 6: Final answer
    x = 514.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.