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Finding the Fourth Proportional to 329.41, 494.82 and 207.76

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Solution

The fourth proportional to 329.41, 494.82 and 207.76 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.41 : 494.82 = 207.76 : x
  2. Step 2: Convert to fraction form
    329.41/494.82 = 207.76/x
  3. Step 3: Cross multiply
    329.41x = 494.82 × 207.76
  4. Step 4: Simplify right side
    329.41x = 102,800.29
  5. Step 5: Solve for x
    x = 102,800.29/329.41
  6. Step 6: Final answer
    x = 312.07

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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.