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Finding the Fourth Proportional to 456.96, 685.68 and 200.46

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Solution

The fourth proportional to 456.96, 685.68 and 200.46 is: 300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 685.68 = 200.46 : x
  2. Step 2: Convert to fraction form
    456.96/685.68 = 200.46/x
  3. Step 3: Cross multiply
    456.96x = 685.68 × 200.46
  4. Step 4: Simplify right side
    456.96x = 137,451.41
  5. Step 5: Solve for x
    x = 137,451.41/456.96
  6. Step 6: Final answer
    x = 300.80

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Why These Related Problems?

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