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Finding the Fourth Proportional to 435.24, 600.96 and 269.64

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Solution

The fourth proportional to 435.24, 600.96 and 269.64 is: 372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.24 : 600.96 = 269.64 : x
  2. Step 2: Convert to fraction form
    435.24/600.96 = 269.64/x
  3. Step 3: Cross multiply
    435.24x = 600.96 × 269.64
  4. Step 4: Simplify right side
    435.24x = 162,042.85
  5. Step 5: Solve for x
    x = 162,042.85/435.24
  6. Step 6: Final answer
    x = 372.31

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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.