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Finding the Fourth Proportional to 701.25, 967.73 and 390.75

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Solution

The fourth proportional to 701.25, 967.73 and 390.75 is: 539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.25 : 967.73 = 390.75 : x
  2. Step 2: Convert to fraction form
    701.25/967.73 = 390.75/x
  3. Step 3: Cross multiply
    701.25x = 967.73 × 390.75
  4. Step 4: Simplify right side
    701.25x = 378,138.54
  5. Step 5: Solve for x
    x = 378,138.54/701.25
  6. Step 6: Final answer
    x = 539.24

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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.