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Finding the Fourth Proportional to 456.34, 684.53 and 163.69

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Solution

The fourth proportional to 456.34, 684.53 and 163.69 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.34 : 684.53 = 163.69 : x
  2. Step 2: Convert to fraction form
    456.34/684.53 = 163.69/x
  3. Step 3: Cross multiply
    456.34x = 684.53 × 163.69
  4. Step 4: Simplify right side
    456.34x = 112,049.90
  5. Step 5: Solve for x
    x = 112,049.90/456.34
  6. Step 6: Final answer
    x = 245.54

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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.