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Finding the Fourth Proportional to 496.57, 744.36 and 374.47

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Solution

The fourth proportional to 496.57, 744.36 and 374.47 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.57 : 744.36 = 374.47 : x
  2. Step 2: Convert to fraction form
    496.57/744.36 = 374.47/x
  3. Step 3: Cross multiply
    496.57x = 744.36 × 374.47
  4. Step 4: Simplify right side
    496.57x = 278,740.49
  5. Step 5: Solve for x
    x = 278,740.49/496.57
  6. Step 6: Final answer
    x = 561.33

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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.