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Finding the Fourth Proportional to 683.67, 943.44 and 400.07

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Solution

The fourth proportional to 683.67, 943.44 and 400.07 is: 552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.67 : 943.44 = 400.07 : x
  2. Step 2: Convert to fraction form
    683.67/943.44 = 400.07/x
  3. Step 3: Cross multiply
    683.67x = 943.44 × 400.07
  4. Step 4: Simplify right side
    683.67x = 377,442.04
  5. Step 5: Solve for x
    x = 377,442.04/683.67
  6. Step 6: Final answer
    x = 552.08

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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.