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Finding the Fourth Proportional to 314.32, 470.87 and 205.78

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Solution

The fourth proportional to 314.32, 470.87 and 205.78 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 470.87 = 205.78 : x
  2. Step 2: Convert to fraction form
    314.32/470.87 = 205.78/x
  3. Step 3: Cross multiply
    314.32x = 470.87 × 205.78
  4. Step 4: Simplify right side
    314.32x = 96,895.96
  5. Step 5: Solve for x
    x = 96,895.96/314.32
  6. Step 6: Final answer
    x = 308.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.