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Finding the Fourth Proportional to 577.07, 796.32 and 340.97

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Solution

The fourth proportional to 577.07, 796.32 and 340.97 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.07 : 796.32 = 340.97 : x
  2. Step 2: Convert to fraction form
    577.07/796.32 = 340.97/x
  3. Step 3: Cross multiply
    577.07x = 796.32 × 340.97
  4. Step 4: Simplify right side
    577.07x = 271,517.25
  5. Step 5: Solve for x
    x = 271,517.25/577.07
  6. Step 6: Final answer
    x = 470.51

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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.