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Finding the Fourth Proportional to 646.11, 969.44 and 337.87

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Solution

The fourth proportional to 646.11, 969.44 and 337.87 is: 506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.11 : 969.44 = 337.87 : x
  2. Step 2: Convert to fraction form
    646.11/969.44 = 337.87/x
  3. Step 3: Cross multiply
    646.11x = 969.44 × 337.87
  4. Step 4: Simplify right side
    646.11x = 327,544.22
  5. Step 5: Solve for x
    x = 327,544.22/646.11
  6. Step 6: Final answer
    x = 506.95

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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.