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Finding the Fourth Proportional to 329.82, 494.21 and 278.22

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Solution

The fourth proportional to 329.82, 494.21 and 278.22 is: 416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 494.21 = 278.22 : x
  2. Step 2: Convert to fraction form
    329.82/494.21 = 278.22/x
  3. Step 3: Cross multiply
    329.82x = 494.21 × 278.22
  4. Step 4: Simplify right side
    329.82x = 137,501.35
  5. Step 5: Solve for x
    x = 137,501.35/329.82
  6. Step 6: Final answer
    x = 416.90

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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.