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Finding the Fourth Proportional to 371.54, 512.33 and 278.14

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Solution

The fourth proportional to 371.54, 512.33 and 278.14 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.54 : 512.33 = 278.14 : x
  2. Step 2: Convert to fraction form
    371.54/512.33 = 278.14/x
  3. Step 3: Cross multiply
    371.54x = 512.33 × 278.14
  4. Step 4: Simplify right side
    371.54x = 142,499.47
  5. Step 5: Solve for x
    x = 142,499.47/371.54
  6. Step 6: Final answer
    x = 383.54

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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.