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Finding the Fourth Proportional to 646.77, 969.66 and 321.90

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Solution

The fourth proportional to 646.77, 969.66 and 321.90 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 969.66 = 321.90 : x
  2. Step 2: Convert to fraction form
    646.77/969.66 = 321.90/x
  3. Step 3: Cross multiply
    646.77x = 969.66 × 321.90
  4. Step 4: Simplify right side
    646.77x = 312,133.55
  5. Step 5: Solve for x
    x = 312,133.55/646.77
  6. Step 6: Final answer
    x = 482.60

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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.