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Finding the Fourth Proportional to 683.76, 943.80 and 404.16

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Solution

The fourth proportional to 683.76, 943.80 and 404.16 is: 557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 943.80 = 404.16 : x
  2. Step 2: Convert to fraction form
    683.76/943.80 = 404.16/x
  3. Step 3: Cross multiply
    683.76x = 943.80 × 404.16
  4. Step 4: Simplify right side
    683.76x = 381,446.21
  5. Step 5: Solve for x
    x = 381,446.21/683.76
  6. Step 6: Final answer
    x = 557.87

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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.