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Finding the Fourth Proportional to 496.41, 685.76 and 392.19

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Solution

The fourth proportional to 496.41, 685.76 and 392.19 is: 541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 685.76 = 392.19 : x
  2. Step 2: Convert to fraction form
    496.41/685.76 = 392.19/x
  3. Step 3: Cross multiply
    496.41x = 685.76 × 392.19
  4. Step 4: Simplify right side
    496.41x = 268,948.21
  5. Step 5: Solve for x
    x = 268,948.21/496.41
  6. Step 6: Final answer
    x = 541.79

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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.