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Finding the Fourth Proportional to 683.49, 943.31 and 473.61

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Solution

The fourth proportional to 683.49, 943.31 and 473.61 is: 653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.49 : 943.31 = 473.61 : x
  2. Step 2: Convert to fraction form
    683.49/943.31 = 473.61/x
  3. Step 3: Cross multiply
    683.49x = 943.31 × 473.61
  4. Step 4: Simplify right side
    683.49x = 446,758.68
  5. Step 5: Solve for x
    x = 446,758.68/683.49
  6. Step 6: Final answer
    x = 653.64

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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.