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Finding the Fourth Proportional to 683.59, 943.13 and 403.83

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Solution

The fourth proportional to 683.59, 943.13 and 403.83 is: 557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 943.13 = 403.83 : x
  2. Step 2: Convert to fraction form
    683.59/943.13 = 403.83/x
  3. Step 3: Cross multiply
    683.59x = 943.13 × 403.83
  4. Step 4: Simplify right side
    683.59x = 380,862.17
  5. Step 5: Solve for x
    x = 380,862.17/683.59
  6. Step 6: Final answer
    x = 557.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.