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Finding the Fourth Proportional to 969.70, 1,454.72 and 354.27

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Solution

The fourth proportional to 969.70, 1,454.72 and 354.27 is: 531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.70 : 1,454.72 = 354.27 : x
  2. Step 2: Convert to fraction form
    969.70/1,454.72 = 354.27/x
  3. Step 3: Cross multiply
    969.70x = 1,454.72 × 354.27
  4. Step 4: Simplify right side
    969.70x = 515,363.65
  5. Step 5: Solve for x
    x = 515,363.65/969.70
  6. Step 6: Final answer
    x = 531.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.