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Finding the Fourth Proportional to 703.22, 970.38 and 408.50

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Solution

The fourth proportional to 703.22, 970.38 and 408.50 is: 563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.22 : 970.38 = 408.50 : x
  2. Step 2: Convert to fraction form
    703.22/970.38 = 408.50/x
  3. Step 3: Cross multiply
    703.22x = 970.38 × 408.50
  4. Step 4: Simplify right side
    703.22x = 396,400.23
  5. Step 5: Solve for x
    x = 396,400.23/703.22
  6. Step 6: Final answer
    x = 563.69

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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.