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Finding the Fourth Proportional to 494.14, 740.80 and 205.78

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Solution

The fourth proportional to 494.14, 740.80 and 205.78 is: 308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 740.80 = 205.78 : x
  2. Step 2: Convert to fraction form
    494.14/740.80 = 205.78/x
  3. Step 3: Cross multiply
    494.14x = 740.80 × 205.78
  4. Step 4: Simplify right side
    494.14x = 152,441.82
  5. Step 5: Solve for x
    x = 152,441.82/494.14
  6. Step 6: Final answer
    x = 308.50

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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.