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Finding the Fourth Proportional to 381.17, 525.24 and 263.18

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Solution

The fourth proportional to 381.17, 525.24 and 263.18 is: 362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.17 : 525.24 = 263.18 : x
  2. Step 2: Convert to fraction form
    381.17/525.24 = 263.18/x
  3. Step 3: Cross multiply
    381.17x = 525.24 × 263.18
  4. Step 4: Simplify right side
    381.17x = 138,230.03
  5. Step 5: Solve for x
    x = 138,230.03/381.17
  6. Step 6: Final answer
    x = 362.65

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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.