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Finding the Fourth Proportional to 600.07, 899.57 and 234.61

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Solution

The fourth proportional to 600.07, 899.57 and 234.61 is: 351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 899.57 = 234.61 : x
  2. Step 2: Convert to fraction form
    600.07/899.57 = 234.61/x
  3. Step 3: Cross multiply
    600.07x = 899.57 × 234.61
  4. Step 4: Simplify right side
    600.07x = 211,048.12
  5. Step 5: Solve for x
    x = 211,048.12/600.07
  6. Step 6: Final answer
    x = 351.71

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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.