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Finding the Fourth Proportional to 646.05, 969.01 and 337.78

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Solution

The fourth proportional to 646.05, 969.01 and 337.78 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.05 : 969.01 = 337.78 : x
  2. Step 2: Convert to fraction form
    646.05/969.01 = 337.78/x
  3. Step 3: Cross multiply
    646.05x = 969.01 × 337.78
  4. Step 4: Simplify right side
    646.05x = 327,310.51
  5. Step 5: Solve for x
    x = 327,310.51/646.05
  6. Step 6: Final answer
    x = 506.63

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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.