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Finding the Fourth Proportional to 683.55, 943.34 and 403.83

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Solution

The fourth proportional to 683.55, 943.34 and 403.83 is: 557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.55 : 943.34 = 403.83 : x
  2. Step 2: Convert to fraction form
    683.55/943.34 = 403.83/x
  3. Step 3: Cross multiply
    683.55x = 943.34 × 403.83
  4. Step 4: Simplify right side
    683.55x = 380,946.97
  5. Step 5: Solve for x
    x = 380,946.97/683.55
  6. Step 6: Final answer
    x = 557.31

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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.