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Finding the Fourth Proportional to 371.17, 512.49 and 278.02

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Solution

The fourth proportional to 371.17, 512.49 and 278.02 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.17 : 512.49 = 278.02 : x
  2. Step 2: Convert to fraction form
    371.17/512.49 = 278.02/x
  3. Step 3: Cross multiply
    371.17x = 512.49 × 278.02
  4. Step 4: Simplify right side
    371.17x = 142,482.47
  5. Step 5: Solve for x
    x = 142,482.47/371.17
  6. Step 6: Final answer
    x = 383.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.