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Finding the Fourth Proportional to 381.13, 526.02 and 318.86

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Solution

The fourth proportional to 381.13, 526.02 and 318.86 is: 440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 526.02 = 318.86 : x
  2. Step 2: Convert to fraction form
    381.13/526.02 = 318.86/x
  3. Step 3: Cross multiply
    381.13x = 526.02 × 318.86
  4. Step 4: Simplify right side
    381.13x = 167,726.74
  5. Step 5: Solve for x
    x = 167,726.74/381.13
  6. Step 6: Final answer
    x = 440.08

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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.