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Finding the Fourth Proportional to 409.36, 613.68 and 247.36

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Solution

The fourth proportional to 409.36, 613.68 and 247.36 is: 370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 613.68 = 247.36 : x
  2. Step 2: Convert to fraction form
    409.36/613.68 = 247.36/x
  3. Step 3: Cross multiply
    409.36x = 613.68 × 247.36
  4. Step 4: Simplify right side
    409.36x = 151,799.88
  5. Step 5: Solve for x
    x = 151,799.88/409.36
  6. Step 6: Final answer
    x = 370.82

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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.