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Finding the Fourth Proportional to 703.34, 970.44 and 408.43

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Solution

The fourth proportional to 703.34, 970.44 and 408.43 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.34 : 970.44 = 408.43 : x
  2. Step 2: Convert to fraction form
    703.34/970.44 = 408.43/x
  3. Step 3: Cross multiply
    703.34x = 970.44 × 408.43
  4. Step 4: Simplify right side
    703.34x = 396,356.81
  5. Step 5: Solve for x
    x = 396,356.81/703.34
  6. Step 6: Final answer
    x = 563.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.