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Finding the Fourth Proportional to 703.06, 970.31 and 408.42

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Solution

The fourth proportional to 703.06, 970.31 and 408.42 is: 563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.06 : 970.31 = 408.42 : x
  2. Step 2: Convert to fraction form
    703.06/970.31 = 408.42/x
  3. Step 3: Cross multiply
    703.06x = 970.31 × 408.42
  4. Step 4: Simplify right side
    703.06x = 396,294.01
  5. Step 5: Solve for x
    x = 396,294.01/703.06
  6. Step 6: Final answer
    x = 563.67

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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.