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Finding the Fourth Proportional to 683.80, 943.63 and 400.24

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Solution

The fourth proportional to 683.80, 943.63 and 400.24 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.80 : 943.63 = 400.24 : x
  2. Step 2: Convert to fraction form
    683.80/943.63 = 400.24/x
  3. Step 3: Cross multiply
    683.80x = 943.63 × 400.24
  4. Step 4: Simplify right side
    683.80x = 377,676.47
  5. Step 5: Solve for x
    x = 377,676.47/683.80
  6. Step 6: Final answer
    x = 552.32

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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.