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Finding the Fourth Proportional to 316.86, 475.31 and 299.55

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Solution

The fourth proportional to 316.86, 475.31 and 299.55 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.86 : 475.31 = 299.55 : x
  2. Step 2: Convert to fraction form
    316.86/475.31 = 299.55/x
  3. Step 3: Cross multiply
    316.86x = 475.31 × 299.55
  4. Step 4: Simplify right side
    316.86x = 142,377.92
  5. Step 5: Solve for x
    x = 142,377.92/316.86
  6. Step 6: Final answer
    x = 449.34

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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.