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Finding the Fourth Proportional to 297.46, 443.99 and 262.87

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Solution

The fourth proportional to 297.46, 443.99 and 262.87 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 443.99 = 262.87 : x
  2. Step 2: Convert to fraction form
    297.46/443.99 = 262.87/x
  3. Step 3: Cross multiply
    297.46x = 443.99 × 262.87
  4. Step 4: Simplify right side
    297.46x = 116,711.65
  5. Step 5: Solve for x
    x = 116,711.65/297.46
  6. Step 6: Final answer
    x = 392.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.