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Finding the Fourth Proportional to 372.44, 512.82 and 284

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Solution

The fourth proportional to 372.44, 512.82 and 284 is: 391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.44 : 512.82 = 284 : x
  2. Step 2: Convert to fraction form
    372.44/512.82 = 284/x
  3. Step 3: Cross multiply
    372.44x = 512.82 × 284
  4. Step 4: Simplify right side
    372.44x = 145,640.88
  5. Step 5: Solve for x
    x = 145,640.88/372.44
  6. Step 6: Final answer
    x = 391.05

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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.