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Finding the Fourth Proportional to 703.71, 971.44 and 408.92

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Solution

The fourth proportional to 703.71, 971.44 and 408.92 is: 564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.71 : 971.44 = 408.92 : x
  2. Step 2: Convert to fraction form
    703.71/971.44 = 408.92/x
  3. Step 3: Cross multiply
    703.71x = 971.44 × 408.92
  4. Step 4: Simplify right side
    703.71x = 397,241.24
  5. Step 5: Solve for x
    x = 397,241.24/703.71
  6. Step 6: Final answer
    x = 564.50

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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.