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Finding the Fourth Proportional to 381.54, 525.16 and 318.66

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Solution

The fourth proportional to 381.54, 525.16 and 318.66 is: 438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.54 : 525.16 = 318.66 : x
  2. Step 2: Convert to fraction form
    381.54/525.16 = 318.66/x
  3. Step 3: Cross multiply
    381.54x = 525.16 × 318.66
  4. Step 4: Simplify right side
    381.54x = 167,347.49
  5. Step 5: Solve for x
    x = 167,347.49/381.54
  6. Step 6: Final answer
    x = 438.61

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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.