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Finding the Fourth Proportional to 318.71, 439.58 and 213.77

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Solution

The fourth proportional to 318.71, 439.58 and 213.77 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.71 : 439.58 = 213.77 : x
  2. Step 2: Convert to fraction form
    318.71/439.58 = 213.77/x
  3. Step 3: Cross multiply
    318.71x = 439.58 × 213.77
  4. Step 4: Simplify right side
    318.71x = 93,965.75
  5. Step 5: Solve for x
    x = 93,965.75/318.71
  6. Step 6: Final answer
    x = 294.84

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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.