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Finding the Fourth Proportional to 683.49, 943.20 and 403.76

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Solution

The fourth proportional to 683.49, 943.20 and 403.76 is: 557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.49 : 943.20 = 403.76 : x
  2. Step 2: Convert to fraction form
    683.49/943.20 = 403.76/x
  3. Step 3: Cross multiply
    683.49x = 943.20 × 403.76
  4. Step 4: Simplify right side
    683.49x = 380,819.70
  5. Step 5: Solve for x
    x = 380,819.70/683.49
  6. Step 6: Final answer
    x = 557.17

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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.