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Finding the Fourth Proportional to 645.90, 969.54 and 321.48

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Solution

The fourth proportional to 645.90, 969.54 and 321.48 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.90 : 969.54 = 321.48 : x
  2. Step 2: Convert to fraction form
    645.90/969.54 = 321.48/x
  3. Step 3: Cross multiply
    645.90x = 969.54 × 321.48
  4. Step 4: Simplify right side
    645.90x = 311,687.72
  5. Step 5: Solve for x
    x = 311,687.72/645.90
  6. Step 6: Final answer
    x = 482.56

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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.