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Finding the Fourth Proportional to 381.14, 525.38 and 319.17

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Solution

The fourth proportional to 381.14, 525.38 and 319.17 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 525.38 = 319.17 : x
  2. Step 2: Convert to fraction form
    381.14/525.38 = 319.17/x
  3. Step 3: Cross multiply
    381.14x = 525.38 × 319.17
  4. Step 4: Simplify right side
    381.14x = 167,683.94
  5. Step 5: Solve for x
    x = 167,683.94/381.14
  6. Step 6: Final answer
    x = 439.96

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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.