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Finding the Fourth Proportional to 490.86, 677.03 and 425.25

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Solution

The fourth proportional to 490.86, 677.03 and 425.25 is: 586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 677.03 = 425.25 : x
  2. Step 2: Convert to fraction form
    490.86/677.03 = 425.25/x
  3. Step 3: Cross multiply
    490.86x = 677.03 × 425.25
  4. Step 4: Simplify right side
    490.86x = 287,904.88
  5. Step 5: Solve for x
    x = 287,904.88/490.86
  6. Step 6: Final answer
    x = 586.53

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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.