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Finding the Fourth Proportional to 434.87, 600.07 and 269.09

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Solution

The fourth proportional to 434.87, 600.07 and 269.09 is: 371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.87 : 600.07 = 269.09 : x
  2. Step 2: Convert to fraction form
    434.87/600.07 = 269.09/x
  3. Step 3: Cross multiply
    434.87x = 600.07 × 269.09
  4. Step 4: Simplify right side
    434.87x = 161,472.84
  5. Step 5: Solve for x
    x = 161,472.84/434.87
  6. Step 6: Final answer
    x = 371.31

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