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Finding the Fourth Proportional to 703.29, 970.53 and 408.73

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Solution

The fourth proportional to 703.29, 970.53 and 408.73 is: 564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.29 : 970.53 = 408.73 : x
  2. Step 2: Convert to fraction form
    703.29/970.53 = 408.73/x
  3. Step 3: Cross multiply
    703.29x = 970.53 × 408.73
  4. Step 4: Simplify right side
    703.29x = 396,684.73
  5. Step 5: Solve for x
    x = 396,684.73/703.29
  6. Step 6: Final answer
    x = 564.04

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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.