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Finding the Fourth Proportional to 418.98, 578.48 and 392.85

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Solution

The fourth proportional to 418.98, 578.48 and 392.85 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 578.48 = 392.85 : x
  2. Step 2: Convert to fraction form
    418.98/578.48 = 392.85/x
  3. Step 3: Cross multiply
    418.98x = 578.48 × 392.85
  4. Step 4: Simplify right side
    418.98x = 227,253.90
  5. Step 5: Solve for x
    x = 227,253.90/418.98
  6. Step 6: Final answer
    x = 542.39

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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.