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Finding the Fourth Proportional to 683.24, 943.14 and 476.36

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Solution

The fourth proportional to 683.24, 943.14 and 476.36 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.24 : 943.14 = 476.36 : x
  2. Step 2: Convert to fraction form
    683.24/943.14 = 476.36/x
  3. Step 3: Cross multiply
    683.24x = 943.14 × 476.36
  4. Step 4: Simplify right side
    683.24x = 449,274.17
  5. Step 5: Solve for x
    x = 449,274.17/683.24
  6. Step 6: Final answer
    x = 657.56

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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.