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Finding the Fourth Proportional to 418.52, 578.21 and 354.12

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Solution

The fourth proportional to 418.52, 578.21 and 354.12 is: 489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 578.21 = 354.12 : x
  2. Step 2: Convert to fraction form
    418.52/578.21 = 354.12/x
  3. Step 3: Cross multiply
    418.52x = 578.21 × 354.12
  4. Step 4: Simplify right side
    418.52x = 204,753.95
  5. Step 5: Solve for x
    x = 204,753.95/418.52
  6. Step 6: Final answer
    x = 489.24

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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.