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Finding the Fourth Proportional to 408.43, 612.63 and 293.83

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Solution

The fourth proportional to 408.43, 612.63 and 293.83 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.43 : 612.63 = 293.83 : x
  2. Step 2: Convert to fraction form
    408.43/612.63 = 293.83/x
  3. Step 3: Cross multiply
    408.43x = 612.63 × 293.83
  4. Step 4: Simplify right side
    408.43x = 180,009.07
  5. Step 5: Solve for x
    x = 180,009.07/408.43
  6. Step 6: Final answer
    x = 440.73

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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.