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Finding the Fourth Proportional to 683.78, 943.66 and 385.08

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Solution

The fourth proportional to 683.78, 943.66 and 385.08 is: 531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.78 : 943.66 = 385.08 : x
  2. Step 2: Convert to fraction form
    683.78/943.66 = 385.08/x
  3. Step 3: Cross multiply
    683.78x = 943.66 × 385.08
  4. Step 4: Simplify right side
    683.78x = 363,384.59
  5. Step 5: Solve for x
    x = 363,384.59/683.78
  6. Step 6: Final answer
    x = 531.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.