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Finding the Fourth Proportional to 329.58, 494.37 and 247.77

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Solution

The fourth proportional to 329.58, 494.37 and 247.77 is: 371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.58 : 494.37 = 247.77 : x
  2. Step 2: Convert to fraction form
    329.58/494.37 = 247.77/x
  3. Step 3: Cross multiply
    329.58x = 494.37 × 247.77
  4. Step 4: Simplify right side
    329.58x = 122,490.05
  5. Step 5: Solve for x
    x = 122,490.05/329.58
  6. Step 6: Final answer
    x = 371.66

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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.