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Finding the Fourth Proportional to 369.38, 508.46 and 319.56

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Solution

The fourth proportional to 369.38, 508.46 and 319.56 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 508.46 = 319.56 : x
  2. Step 2: Convert to fraction form
    369.38/508.46 = 319.56/x
  3. Step 3: Cross multiply
    369.38x = 508.46 × 319.56
  4. Step 4: Simplify right side
    369.38x = 162,481.88
  5. Step 5: Solve for x
    x = 162,481.88/369.38
  6. Step 6: Final answer
    x = 439.88

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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.