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Finding the Fourth Proportional to 600.22, 899.22 and 308.02

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Solution

The fourth proportional to 600.22, 899.22 and 308.02 is: 461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 899.22 = 308.02 : x
  2. Step 2: Convert to fraction form
    600.22/899.22 = 308.02/x
  3. Step 3: Cross multiply
    600.22x = 899.22 × 308.02
  4. Step 4: Simplify right side
    600.22x = 276,977.74
  5. Step 5: Solve for x
    x = 276,977.74/600.22
  6. Step 6: Final answer
    x = 461.46

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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.