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Finding the Fourth Proportional to 456.92, 685.54 and 240.66

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Solution

The fourth proportional to 456.92, 685.54 and 240.66 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 685.54 = 240.66 : x
  2. Step 2: Convert to fraction form
    456.92/685.54 = 240.66/x
  3. Step 3: Cross multiply
    456.92x = 685.54 × 240.66
  4. Step 4: Simplify right side
    456.92x = 164,982.06
  5. Step 5: Solve for x
    x = 164,982.06/456.92
  6. Step 6: Final answer
    x = 361.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.