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Finding the Fourth Proportional to 600.36, 900.39 and 271.14

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Solution

The fourth proportional to 600.36, 900.39 and 271.14 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.36 : 900.39 = 271.14 : x
  2. Step 2: Convert to fraction form
    600.36/900.39 = 271.14/x
  3. Step 3: Cross multiply
    600.36x = 900.39 × 271.14
  4. Step 4: Simplify right side
    600.36x = 244,131.74
  5. Step 5: Solve for x
    x = 244,131.74/600.36
  6. Step 6: Final answer
    x = 406.64

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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.