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Finding the Fourth Proportional to 456.84, 685.43 and 274.36

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Solution

The fourth proportional to 456.84, 685.43 and 274.36 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 685.43 = 274.36 : x
  2. Step 2: Convert to fraction form
    456.84/685.43 = 274.36/x
  3. Step 3: Cross multiply
    456.84x = 685.43 × 274.36
  4. Step 4: Simplify right side
    456.84x = 188,056.97
  5. Step 5: Solve for x
    x = 188,056.97/456.84
  6. Step 6: Final answer
    x = 411.65

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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.