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Finding the Fourth Proportional to 496.62, 745.37 and 253.28

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Solution

The fourth proportional to 496.62, 745.37 and 253.28 is: 380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 745.37 = 253.28 : x
  2. Step 2: Convert to fraction form
    496.62/745.37 = 253.28/x
  3. Step 3: Cross multiply
    496.62x = 745.37 × 253.28
  4. Step 4: Simplify right side
    496.62x = 188,788.86
  5. Step 5: Solve for x
    x = 188,788.86/496.62
  6. Step 6: Final answer
    x = 380.15

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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.