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Finding the Fourth Proportional to 381.64, 525.15 and 319.27

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Solution

The fourth proportional to 381.64, 525.15 and 319.27 is: 439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 525.15 = 319.27 : x
  2. Step 2: Convert to fraction form
    381.64/525.15 = 319.27/x
  3. Step 3: Cross multiply
    381.64x = 525.15 × 319.27
  4. Step 4: Simplify right side
    381.64x = 167,664.64
  5. Step 5: Solve for x
    x = 167,664.64/381.64
  6. Step 6: Final answer
    x = 439.33

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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.