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Finding the Fourth Proportional to 434.74, 600.12 and 269.14

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Solution

The fourth proportional to 434.74, 600.12 and 269.14 is: 371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 600.12 = 269.14 : x
  2. Step 2: Convert to fraction form
    434.74/600.12 = 269.14/x
  3. Step 3: Cross multiply
    434.74x = 600.12 × 269.14
  4. Step 4: Simplify right side
    434.74x = 161,516.30
  5. Step 5: Solve for x
    x = 161,516.30/434.74
  6. Step 6: Final answer
    x = 371.52

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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.