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Finding the Fourth Proportional to 407.05, 610.22 and 367.69

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Solution

The fourth proportional to 407.05, 610.22 and 367.69 is: 551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.05 : 610.22 = 367.69 : x
  2. Step 2: Convert to fraction form
    407.05/610.22 = 367.69/x
  3. Step 3: Cross multiply
    407.05x = 610.22 × 367.69
  4. Step 4: Simplify right side
    407.05x = 224,369.95
  5. Step 5: Solve for x
    x = 224,369.95/407.05
  6. Step 6: Final answer
    x = 551.21

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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.