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Finding the Fourth Proportional to 490.24, 677.12 and 357.25

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Solution

The fourth proportional to 490.24, 677.12 and 357.25 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 677.12 = 357.25 : x
  2. Step 2: Convert to fraction form
    490.24/677.12 = 357.25/x
  3. Step 3: Cross multiply
    490.24x = 677.12 × 357.25
  4. Step 4: Simplify right side
    490.24x = 241,901.12
  5. Step 5: Solve for x
    x = 241,901.12/490.24
  6. Step 6: Final answer
    x = 493.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.