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Finding the Fourth Proportional to 496.57, 746 and 350.66

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Solution

The fourth proportional to 496.57, 746 and 350.66 is: 526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.57 : 746 = 350.66 : x
  2. Step 2: Convert to fraction form
    496.57/746 = 350.66/x
  3. Step 3: Cross multiply
    496.57x = 746 × 350.66
  4. Step 4: Simplify right side
    496.57x = 261,592.36
  5. Step 5: Solve for x
    x = 261,592.36/496.57
  6. Step 6: Final answer
    x = 526.80

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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.