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Finding the Fourth Proportional to 456.57, 684.90 and 164.24

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Solution

The fourth proportional to 456.57, 684.90 and 164.24 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 684.90 = 164.24 : x
  2. Step 2: Convert to fraction form
    456.57/684.90 = 164.24/x
  3. Step 3: Cross multiply
    456.57x = 684.90 × 164.24
  4. Step 4: Simplify right side
    456.57x = 112,487.98
  5. Step 5: Solve for x
    x = 112,487.98/456.57
  6. Step 6: Final answer
    x = 246.38

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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.