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Finding the Fourth Proportional to 496.68, 745.05 and 253.02

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Solution

The fourth proportional to 496.68, 745.05 and 253.02 is: 379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 745.05 = 253.02 : x
  2. Step 2: Convert to fraction form
    496.68/745.05 = 253.02/x
  3. Step 3: Cross multiply
    496.68x = 745.05 × 253.02
  4. Step 4: Simplify right side
    496.68x = 188,512.55
  5. Step 5: Solve for x
    x = 188,512.55/496.68
  6. Step 6: Final answer
    x = 379.55

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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.