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Finding the Fourth Proportional to 441.98, 609.80 and 252.90

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Solution

The fourth proportional to 441.98, 609.80 and 252.90 is: 348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.98 : 609.80 = 252.90 : x
  2. Step 2: Convert to fraction form
    441.98/609.80 = 252.90/x
  3. Step 3: Cross multiply
    441.98x = 609.80 × 252.90
  4. Step 4: Simplify right side
    441.98x = 154,218.42
  5. Step 5: Solve for x
    x = 154,218.42/441.98
  6. Step 6: Final answer
    x = 348.93

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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.