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Finding the Fourth Proportional to 435.09, 600.38 and 269.24

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Solution

The fourth proportional to 435.09, 600.38 and 269.24 is: 371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.09 : 600.38 = 269.24 : x
  2. Step 2: Convert to fraction form
    435.09/600.38 = 269.24/x
  3. Step 3: Cross multiply
    435.09x = 600.38 × 269.24
  4. Step 4: Simplify right side
    435.09x = 161,646.35
  5. Step 5: Solve for x
    x = 161,646.35/435.09
  6. Step 6: Final answer
    x = 371.53

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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.