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Finding the Fourth Proportional to 409.88, 613.56 and 293.24

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Solution

The fourth proportional to 409.88, 613.56 and 293.24 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 613.56 = 293.24 : x
  2. Step 2: Convert to fraction form
    409.88/613.56 = 293.24/x
  3. Step 3: Cross multiply
    409.88x = 613.56 × 293.24
  4. Step 4: Simplify right side
    409.88x = 179,920.33
  5. Step 5: Solve for x
    x = 179,920.33/409.88
  6. Step 6: Final answer
    x = 438.96

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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.