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Finding the Fourth Proportional to 371.30, 555.97 and 297.83

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Solution

The fourth proportional to 371.30, 555.97 and 297.83 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.30 : 555.97 = 297.83 : x
  2. Step 2: Convert to fraction form
    371.30/555.97 = 297.83/x
  3. Step 3: Cross multiply
    371.30x = 555.97 × 297.83
  4. Step 4: Simplify right side
    371.30x = 165,584.55
  5. Step 5: Solve for x
    x = 165,584.55/371.30
  6. Step 6: Final answer
    x = 445.96

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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.