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Finding the Fourth Proportional to 404.90, 607.44 and 199.22

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Solution

The fourth proportional to 404.90, 607.44 and 199.22 is: 298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.90 : 607.44 = 199.22 : x
  2. Step 2: Convert to fraction form
    404.90/607.44 = 199.22/x
  3. Step 3: Cross multiply
    404.90x = 607.44 × 199.22
  4. Step 4: Simplify right side
    404.90x = 121,014.20
  5. Step 5: Solve for x
    x = 121,014.20/404.90
  6. Step 6: Final answer
    x = 298.88

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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.