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Finding the Fourth Proportional to 497.36, 745.68 and 280.82

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Solution

The fourth proportional to 497.36, 745.68 and 280.82 is: 421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.36 : 745.68 = 280.82 : x
  2. Step 2: Convert to fraction form
    497.36/745.68 = 280.82/x
  3. Step 3: Cross multiply
    497.36x = 745.68 × 280.82
  4. Step 4: Simplify right side
    497.36x = 209,401.86
  5. Step 5: Solve for x
    x = 209,401.86/497.36
  6. Step 6: Final answer
    x = 421.03

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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.