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Finding the Fourth Proportional to 409.07, 612.07 and 243.92

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Solution

The fourth proportional to 409.07, 612.07 and 243.92 is: 364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 612.07 = 243.92 : x
  2. Step 2: Convert to fraction form
    409.07/612.07 = 243.92/x
  3. Step 3: Cross multiply
    409.07x = 612.07 × 243.92
  4. Step 4: Simplify right side
    409.07x = 149,297.03
  5. Step 5: Solve for x
    x = 149,297.03/409.07
  6. Step 6: Final answer
    x = 364.96

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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.