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Finding the Fourth Proportional to 500.91, 751.37 and 212.15

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Solution

The fourth proportional to 500.91, 751.37 and 212.15 is: 318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.91 : 751.37 = 212.15 : x
  2. Step 2: Convert to fraction form
    500.91/751.37 = 212.15/x
  3. Step 3: Cross multiply
    500.91x = 751.37 × 212.15
  4. Step 4: Simplify right side
    500.91x = 159,398.33
  5. Step 5: Solve for x
    x = 159,398.33/500.91
  6. Step 6: Final answer
    x = 318.22

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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.