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Finding the Fourth Proportional to 409.02, 612.42 and 306.36

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Solution

The fourth proportional to 409.02, 612.42 and 306.36 is: 458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 612.42 = 306.36 : x
  2. Step 2: Convert to fraction form
    409.02/612.42 = 306.36/x
  3. Step 3: Cross multiply
    409.02x = 612.42 × 306.36
  4. Step 4: Simplify right side
    409.02x = 187,620.99
  5. Step 5: Solve for x
    x = 187,620.99/409.02
  6. Step 6: Final answer
    x = 458.71

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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.