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Finding the Fourth Proportional to 367.98, 552.06 and 319.56

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Solution

The fourth proportional to 367.98, 552.06 and 319.56 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 552.06 = 319.56 : x
  2. Step 2: Convert to fraction form
    367.98/552.06 = 319.56/x
  3. Step 3: Cross multiply
    367.98x = 552.06 × 319.56
  4. Step 4: Simplify right side
    367.98x = 176,416.29
  5. Step 5: Solve for x
    x = 176,416.29/367.98
  6. Step 6: Final answer
    x = 479.42

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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.