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Finding the Fourth Proportional to 496.53, 745.20 and 253.22

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Solution

The fourth proportional to 496.53, 745.20 and 253.22 is: 380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 745.20 = 253.22 : x
  2. Step 2: Convert to fraction form
    496.53/745.20 = 253.22/x
  3. Step 3: Cross multiply
    496.53x = 745.20 × 253.22
  4. Step 4: Simplify right side
    496.53x = 188,695.82
  5. Step 5: Solve for x
    x = 188,695.82/496.53
  6. Step 6: Final answer
    x = 380.03

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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.