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Finding the Fourth Proportional to 497.18, 685.50 and 331.40

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Solution

The fourth proportional to 497.18, 685.50 and 331.40 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.18 : 685.50 = 331.40 : x
  2. Step 2: Convert to fraction form
    497.18/685.50 = 331.40/x
  3. Step 3: Cross multiply
    497.18x = 685.50 × 331.40
  4. Step 4: Simplify right side
    497.18x = 227,171.27
  5. Step 5: Solve for x
    x = 227,171.27/497.18
  6. Step 6: Final answer
    x = 456.92

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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.