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Finding the Fourth Proportional to 683.77, 943.50 and 403.96

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Solution

The fourth proportional to 683.77, 943.50 and 403.96 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.77 : 943.50 = 403.96 : x
  2. Step 2: Convert to fraction form
    683.77/943.50 = 403.96/x
  3. Step 3: Cross multiply
    683.77x = 943.50 × 403.96
  4. Step 4: Simplify right side
    683.77x = 381,136.26
  5. Step 5: Solve for x
    x = 381,136.26/683.77
  6. Step 6: Final answer
    x = 557.40

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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.