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Finding the Fourth Proportional to 703.60, 970.92 and 408.96

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Solution

The fourth proportional to 703.60, 970.92 and 408.96 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 970.92 = 408.96 : x
  2. Step 2: Convert to fraction form
    703.60/970.92 = 408.96/x
  3. Step 3: Cross multiply
    703.60x = 970.92 × 408.96
  4. Step 4: Simplify right side
    703.60x = 397,067.44
  5. Step 5: Solve for x
    x = 397,067.44/703.60
  6. Step 6: Final answer
    x = 564.34

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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.