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Finding the Fourth Proportional to 409.75, 613.92 and 293.63

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Solution

The fourth proportional to 409.75, 613.92 and 293.63 is: 439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 613.92 = 293.63 : x
  2. Step 2: Convert to fraction form
    409.75/613.92 = 293.63/x
  3. Step 3: Cross multiply
    409.75x = 613.92 × 293.63
  4. Step 4: Simplify right side
    409.75x = 180,265.33
  5. Step 5: Solve for x
    x = 180,265.33/409.75
  6. Step 6: Final answer
    x = 439.94

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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.