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Finding the Fourth Proportional to 685.07, 944.48 and 488.24

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Solution

The fourth proportional to 685.07, 944.48 and 488.24 is: 673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.07 : 944.48 = 488.24 : x
  2. Step 2: Convert to fraction form
    685.07/944.48 = 488.24/x
  3. Step 3: Cross multiply
    685.07x = 944.48 × 488.24
  4. Step 4: Simplify right side
    685.07x = 461,129.41
  5. Step 5: Solve for x
    x = 461,129.41/685.07
  6. Step 6: Final answer
    x = 673.12

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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.