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Finding the Fourth Proportional to 318.41, 439.41 and 206.40

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Solution

The fourth proportional to 318.41, 439.41 and 206.40 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.41 : 439.41 = 206.40 : x
  2. Step 2: Convert to fraction form
    318.41/439.41 = 206.40/x
  3. Step 3: Cross multiply
    318.41x = 439.41 × 206.40
  4. Step 4: Simplify right side
    318.41x = 90,693.88
  5. Step 5: Solve for x
    x = 90,693.88/318.41
  6. Step 6: Final answer
    x = 284.84

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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.