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Finding the Fourth Proportional to 381.14, 526.01 and 318.86

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Solution

The fourth proportional to 381.14, 526.01 and 318.86 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 526.01 = 318.86 : x
  2. Step 2: Convert to fraction form
    381.14/526.01 = 318.86/x
  3. Step 3: Cross multiply
    381.14x = 526.01 × 318.86
  4. Step 4: Simplify right side
    381.14x = 167,723.55
  5. Step 5: Solve for x
    x = 167,723.55/381.14
  6. Step 6: Final answer
    x = 440.06

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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.