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Finding the Fourth Proportional to 434.77, 600.21 and 269.12

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Solution

The fourth proportional to 434.77, 600.21 and 269.12 is: 371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.77 : 600.21 = 269.12 : x
  2. Step 2: Convert to fraction form
    434.77/600.21 = 269.12/x
  3. Step 3: Cross multiply
    434.77x = 600.21 × 269.12
  4. Step 4: Simplify right side
    434.77x = 161,530.02
  5. Step 5: Solve for x
    x = 161,530.02/434.77
  6. Step 6: Final answer
    x = 371.53

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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.