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Finding the Fourth Proportional to 600.10, 899.80 and 234.61

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Solution

The fourth proportional to 600.10, 899.80 and 234.61 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.10 : 899.80 = 234.61 : x
  2. Step 2: Convert to fraction form
    600.10/899.80 = 234.61/x
  3. Step 3: Cross multiply
    600.10x = 899.80 × 234.61
  4. Step 4: Simplify right side
    600.10x = 211,102.08
  5. Step 5: Solve for x
    x = 211,102.08/600.10
  6. Step 6: Final answer
    x = 351.78

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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.