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Finding the Fourth Proportional to 496.36, 744.99 and 253.06

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Solution

The fourth proportional to 496.36, 744.99 and 253.06 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.36 : 744.99 = 253.06 : x
  2. Step 2: Convert to fraction form
    496.36/744.99 = 253.06/x
  3. Step 3: Cross multiply
    496.36x = 744.99 × 253.06
  4. Step 4: Simplify right side
    496.36x = 188,527.17
  5. Step 5: Solve for x
    x = 188,527.17/496.36
  6. Step 6: Final answer
    x = 379.82

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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.