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Finding the Fourth Proportional to 434.94, 600.22 and 269.12

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Solution

The fourth proportional to 434.94, 600.22 and 269.12 is: 371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.94 : 600.22 = 269.12 : x
  2. Step 2: Convert to fraction form
    434.94/600.22 = 269.12/x
  3. Step 3: Cross multiply
    434.94x = 600.22 × 269.12
  4. Step 4: Simplify right side
    434.94x = 161,531.21
  5. Step 5: Solve for x
    x = 161,531.21/434.94
  6. Step 6: Final answer
    x = 371.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.