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Finding the Fourth Proportional to 456.42, 685.84 and 273.96

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Solution

The fourth proportional to 456.42, 685.84 and 273.96 is: 411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.42 : 685.84 = 273.96 : x
  2. Step 2: Convert to fraction form
    456.42/685.84 = 273.96/x
  3. Step 3: Cross multiply
    456.42x = 685.84 × 273.96
  4. Step 4: Simplify right side
    456.42x = 187,892.73
  5. Step 5: Solve for x
    x = 187,892.73/456.42
  6. Step 6: Final answer
    x = 411.67

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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.