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Finding the Fourth Proportional to 646.11, 969.73 and 338.17

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Solution

The fourth proportional to 646.11, 969.73 and 338.17 is: 507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 969.73 = 338.17 : x
  2. Step 2: Convert to fraction form
    646.11/969.73 = 338.17/x
  3. Step 3: Cross multiply
    646.11x = 969.73 × 338.17
  4. Step 4: Simplify right side
    646.11x = 327,933.59
  5. Step 5: Solve for x
    x = 327,933.59/646.11
  6. Step 6: Final answer
    x = 507.55

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Why These Related Problems?

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