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Finding the Fourth Proportional to 600.09, 898.98 and 369.06

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Solution

The fourth proportional to 600.09, 898.98 and 369.06 is: 552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.09 : 898.98 = 369.06 : x
  2. Step 2: Convert to fraction form
    600.09/898.98 = 369.06/x
  3. Step 3: Cross multiply
    600.09x = 898.98 × 369.06
  4. Step 4: Simplify right side
    600.09x = 331,777.56
  5. Step 5: Solve for x
    x = 331,777.56/600.09
  6. Step 6: Final answer
    x = 552.88

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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.