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Finding the Fourth Proportional to 490.80, 677.44 and 442.16

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Solution

The fourth proportional to 490.80, 677.44 and 442.16 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 677.44 = 442.16 : x
  2. Step 2: Convert to fraction form
    490.80/677.44 = 442.16/x
  3. Step 3: Cross multiply
    490.80x = 677.44 × 442.16
  4. Step 4: Simplify right side
    490.80x = 299,536.87
  5. Step 5: Solve for x
    x = 299,536.87/490.80
  6. Step 6: Final answer
    x = 610.30

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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.