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Finding the Fourth Proportional to 683.52, 943.20 and 403.71

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Solution

The fourth proportional to 683.52, 943.20 and 403.71 is: 557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.52 : 943.20 = 403.71 : x
  2. Step 2: Convert to fraction form
    683.52/943.20 = 403.71/x
  3. Step 3: Cross multiply
    683.52x = 943.20 × 403.71
  4. Step 4: Simplify right side
    683.52x = 380,779.27
  5. Step 5: Solve for x
    x = 380,779.27/683.52
  6. Step 6: Final answer
    x = 557.09

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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.