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Finding the Fourth Proportional to 600.93, 902.00 and 341.22

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Solution

The fourth proportional to 600.93, 902.00 and 341.22 is: 512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.93 : 902.00 = 341.22 : x
  2. Step 2: Convert to fraction form
    600.93/902.00 = 341.22/x
  3. Step 3: Cross multiply
    600.93x = 902.00 × 341.22
  4. Step 4: Simplify right side
    600.93x = 307,778.73
  5. Step 5: Solve for x
    x = 307,778.73/600.93
  6. Step 6: Final answer
    x = 512.17

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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.