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Finding the Fourth Proportional to 496.74, 744.30 and 351.75

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Solution

The fourth proportional to 496.74, 744.30 and 351.75 is: 527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.74 : 744.30 = 351.75 : x
  2. Step 2: Convert to fraction form
    496.74/744.30 = 351.75/x
  3. Step 3: Cross multiply
    496.74x = 744.30 × 351.75
  4. Step 4: Simplify right side
    496.74x = 261,807.53
  5. Step 5: Solve for x
    x = 261,807.53/496.74
  6. Step 6: Final answer
    x = 527.05

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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.