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Finding the Fourth Proportional to 535.97, 739.71 and 340.05

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Solution

The fourth proportional to 535.97, 739.71 and 340.05 is: 469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 739.71 = 340.05 : x
  2. Step 2: Convert to fraction form
    535.97/739.71 = 340.05/x
  3. Step 3: Cross multiply
    535.97x = 739.71 × 340.05
  4. Step 4: Simplify right side
    535.97x = 251,536.04
  5. Step 5: Solve for x
    x = 251,536.04/535.97
  6. Step 6: Final answer
    x = 469.31

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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.