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Finding the Fourth Proportional to 318.76, 439.14 and 301.72

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Solution

The fourth proportional to 318.76, 439.14 and 301.72 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 439.14 = 301.72 : x
  2. Step 2: Convert to fraction form
    318.76/439.14 = 301.72/x
  3. Step 3: Cross multiply
    318.76x = 439.14 × 301.72
  4. Step 4: Simplify right side
    318.76x = 132,497.32
  5. Step 5: Solve for x
    x = 132,497.32/318.76
  6. Step 6: Final answer
    x = 415.66

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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.