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Finding the Fourth Proportional to 408.98, 612.33 and 278.82

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Solution

The fourth proportional to 408.98, 612.33 and 278.82 is: 417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 612.33 = 278.82 : x
  2. Step 2: Convert to fraction form
    408.98/612.33 = 278.82/x
  3. Step 3: Cross multiply
    408.98x = 612.33 × 278.82
  4. Step 4: Simplify right side
    408.98x = 170,729.85
  5. Step 5: Solve for x
    x = 170,729.85/408.98
  6. Step 6: Final answer
    x = 417.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.