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Finding the Fourth Proportional to 600.16, 899.38 and 266.20

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Solution

The fourth proportional to 600.16, 899.38 and 266.20 is: 398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.16 : 899.38 = 266.20 : x
  2. Step 2: Convert to fraction form
    600.16/899.38 = 266.20/x
  3. Step 3: Cross multiply
    600.16x = 899.38 × 266.20
  4. Step 4: Simplify right side
    600.16x = 239,414.96
  5. Step 5: Solve for x
    x = 239,414.96/600.16
  6. Step 6: Final answer
    x = 398.92

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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.