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Finding the Fourth Proportional to 435.73, 600.97 and 288.31

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Solution

The fourth proportional to 435.73, 600.97 and 288.31 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.73 : 600.97 = 288.31 : x
  2. Step 2: Convert to fraction form
    435.73/600.97 = 288.31/x
  3. Step 3: Cross multiply
    435.73x = 600.97 × 288.31
  4. Step 4: Simplify right side
    435.73x = 173,265.66
  5. Step 5: Solve for x
    x = 173,265.66/435.73
  6. Step 6: Final answer
    x = 397.64

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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.