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Finding the Fourth Proportional to 456.70, 684.24 and 212.80

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Solution

The fourth proportional to 456.70, 684.24 and 212.80 is: 318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.70 : 684.24 = 212.80 : x
  2. Step 2: Convert to fraction form
    456.70/684.24 = 212.80/x
  3. Step 3: Cross multiply
    456.70x = 684.24 × 212.80
  4. Step 4: Simplify right side
    456.70x = 145,606.27
  5. Step 5: Solve for x
    x = 145,606.27/456.70
  6. Step 6: Final answer
    x = 318.82

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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.