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Finding the Fourth Proportional to 703.46, 970.62 and 408.56

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Solution

The fourth proportional to 703.46, 970.62 and 408.56 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.46 : 970.62 = 408.56 : x
  2. Step 2: Convert to fraction form
    703.46/970.62 = 408.56/x
  3. Step 3: Cross multiply
    703.46x = 970.62 × 408.56
  4. Step 4: Simplify right side
    703.46x = 396,550.12
  5. Step 5: Solve for x
    x = 396,550.12/703.46
  6. Step 6: Final answer
    x = 563.71

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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.