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Finding the Fourth Proportional to 646.35, 969.83 and 321.54

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Solution

The fourth proportional to 646.35, 969.83 and 321.54 is: 482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.35 : 969.83 = 321.54 : x
  2. Step 2: Convert to fraction form
    646.35/969.83 = 321.54/x
  3. Step 3: Cross multiply
    646.35x = 969.83 × 321.54
  4. Step 4: Simplify right side
    646.35x = 311,839.14
  5. Step 5: Solve for x
    x = 311,839.14/646.35
  6. Step 6: Final answer
    x = 482.46

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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.