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Finding the Fourth Proportional to 496.14, 742.62 and 264.70

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Solution

The fourth proportional to 496.14, 742.62 and 264.70 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 742.62 = 264.70 : x
  2. Step 2: Convert to fraction form
    496.14/742.62 = 264.70/x
  3. Step 3: Cross multiply
    496.14x = 742.62 × 264.70
  4. Step 4: Simplify right side
    496.14x = 196,571.51
  5. Step 5: Solve for x
    x = 196,571.51/496.14
  6. Step 6: Final answer
    x = 396.20

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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.