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Finding the Fourth Proportional to 497.19, 685.44 and 331.35

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Solution

The fourth proportional to 497.19, 685.44 and 331.35 is: 456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.19 : 685.44 = 331.35 : x
  2. Step 2: Convert to fraction form
    497.19/685.44 = 331.35/x
  3. Step 3: Cross multiply
    497.19x = 685.44 × 331.35
  4. Step 4: Simplify right side
    497.19x = 227,120.54
  5. Step 5: Solve for x
    x = 227,120.54/497.19
  6. Step 6: Final answer
    x = 456.81

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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.