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Finding the Fourth Proportional to 456.31, 684.05 and 182.59

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Solution

The fourth proportional to 456.31, 684.05 and 182.59 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.31 : 684.05 = 182.59 : x
  2. Step 2: Convert to fraction form
    456.31/684.05 = 182.59/x
  3. Step 3: Cross multiply
    456.31x = 684.05 × 182.59
  4. Step 4: Simplify right side
    456.31x = 124,900.69
  5. Step 5: Solve for x
    x = 124,900.69/456.31
  6. Step 6: Final answer
    x = 273.72

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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.