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Finding the Fourth Proportional to 685.02, 944.13 and 495.96

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Solution

The fourth proportional to 685.02, 944.13 and 495.96 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 944.13 = 495.96 : x
  2. Step 2: Convert to fraction form
    685.02/944.13 = 495.96/x
  3. Step 3: Cross multiply
    685.02x = 944.13 × 495.96
  4. Step 4: Simplify right side
    685.02x = 468,250.71
  5. Step 5: Solve for x
    x = 468,250.71/685.02
  6. Step 6: Final answer
    x = 683.56

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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.