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Finding the Fourth Proportional to 371.82, 512.38 and 278.66

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Solution

The fourth proportional to 371.82, 512.38 and 278.66 is: 384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.82 : 512.38 = 278.66 : x
  2. Step 2: Convert to fraction form
    371.82/512.38 = 278.66/x
  3. Step 3: Cross multiply
    371.82x = 512.38 × 278.66
  4. Step 4: Simplify right side
    371.82x = 142,779.81
  5. Step 5: Solve for x
    x = 142,779.81/371.82
  6. Step 6: Final answer
    x = 384.00

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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.