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Finding the Fourth Proportional to 496.72, 745.44 and 280.72

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Solution

The fourth proportional to 496.72, 745.44 and 280.72 is: 421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.72 : 745.44 = 280.72 : x
  2. Step 2: Convert to fraction form
    496.72/745.44 = 280.72/x
  3. Step 3: Cross multiply
    496.72x = 745.44 × 280.72
  4. Step 4: Simplify right side
    496.72x = 209,259.92
  5. Step 5: Solve for x
    x = 209,259.92/496.72
  6. Step 6: Final answer
    x = 421.28

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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.