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Finding the Fourth Proportional to 456.53, 684.47 and 163.89

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Solution

The fourth proportional to 456.53, 684.47 and 163.89 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.53 : 684.47 = 163.89 : x
  2. Step 2: Convert to fraction form
    456.53/684.47 = 163.89/x
  3. Step 3: Cross multiply
    456.53x = 684.47 × 163.89
  4. Step 4: Simplify right side
    456.53x = 112,178.20
  5. Step 5: Solve for x
    x = 112,178.20/456.53
  6. Step 6: Final answer
    x = 245.72

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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.