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Finding the Fourth Proportional to 407.21, 611.15 and 212.27

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Solution

The fourth proportional to 407.21, 611.15 and 212.27 is: 318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 611.15 = 212.27 : x
  2. Step 2: Convert to fraction form
    407.21/611.15 = 212.27/x
  3. Step 3: Cross multiply
    407.21x = 611.15 × 212.27
  4. Step 4: Simplify right side
    407.21x = 129,727.75
  5. Step 5: Solve for x
    x = 129,727.75/407.21
  6. Step 6: Final answer
    x = 318.58

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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.