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Finding the Fourth Proportional to 646.21, 969.04 and 207.34

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Solution

The fourth proportional to 646.21, 969.04 and 207.34 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.21 : 969.04 = 207.34 : x
  2. Step 2: Convert to fraction form
    646.21/969.04 = 207.34/x
  3. Step 3: Cross multiply
    646.21x = 969.04 × 207.34
  4. Step 4: Simplify right side
    646.21x = 200,920.75
  5. Step 5: Solve for x
    x = 200,920.75/646.21
  6. Step 6: Final answer
    x = 310.92

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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.