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Finding the Fourth Proportional to 456.20, 684.42 and 212.60

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Solution

The fourth proportional to 456.20, 684.42 and 212.60 is: 318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 684.42 = 212.60 : x
  2. Step 2: Convert to fraction form
    456.20/684.42 = 212.60/x
  3. Step 3: Cross multiply
    456.20x = 684.42 × 212.60
  4. Step 4: Simplify right side
    456.20x = 145,507.69
  5. Step 5: Solve for x
    x = 145,507.69/456.20
  6. Step 6: Final answer
    x = 318.96

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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.