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Finding the Fourth Proportional to 456.36, 684.94 and 213.02

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Solution

The fourth proportional to 456.36, 684.94 and 213.02 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.36 : 684.94 = 213.02 : x
  2. Step 2: Convert to fraction form
    456.36/684.94 = 213.02/x
  3. Step 3: Cross multiply
    456.36x = 684.94 × 213.02
  4. Step 4: Simplify right side
    456.36x = 145,902.49
  5. Step 5: Solve for x
    x = 145,902.49/456.36
  6. Step 6: Final answer
    x = 319.71

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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.