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Finding the Fourth Proportional to 381.12, 525.52 and 297.96

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Solution

The fourth proportional to 381.12, 525.52 and 297.96 is: 410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.12 : 525.52 = 297.96 : x
  2. Step 2: Convert to fraction form
    381.12/525.52 = 297.96/x
  3. Step 3: Cross multiply
    381.12x = 525.52 × 297.96
  4. Step 4: Simplify right side
    381.12x = 156,583.94
  5. Step 5: Solve for x
    x = 156,583.94/381.12
  6. Step 6: Final answer
    x = 410.85

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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.