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Finding the Fourth Proportional to 441.98, 662.51 and 258.82

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Solution

The fourth proportional to 441.98, 662.51 and 258.82 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.98 : 662.51 = 258.82 : x
  2. Step 2: Convert to fraction form
    441.98/662.51 = 258.82/x
  3. Step 3: Cross multiply
    441.98x = 662.51 × 258.82
  4. Step 4: Simplify right side
    441.98x = 171,470.84
  5. Step 5: Solve for x
    x = 171,470.84/441.98
  6. Step 6: Final answer
    x = 387.96

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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.