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Finding the Fourth Proportional to 456.29, 684.37 and 163.77

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Solution

The fourth proportional to 456.29, 684.37 and 163.77 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.29 : 684.37 = 163.77 : x
  2. Step 2: Convert to fraction form
    456.29/684.37 = 163.77/x
  3. Step 3: Cross multiply
    456.29x = 684.37 × 163.77
  4. Step 4: Simplify right side
    456.29x = 112,078.87
  5. Step 5: Solve for x
    x = 112,078.87/456.29
  6. Step 6: Final answer
    x = 245.63

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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.