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Finding the Fourth Proportional to 467.80, 701.27 and 293.94

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Solution

The fourth proportional to 467.80, 701.27 and 293.94 is: 440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.80 : 701.27 = 293.94 : x
  2. Step 2: Convert to fraction form
    467.80/701.27 = 293.94/x
  3. Step 3: Cross multiply
    467.80x = 701.27 × 293.94
  4. Step 4: Simplify right side
    467.80x = 206,129.55
  5. Step 5: Solve for x
    x = 206,129.55/467.80
  6. Step 6: Final answer
    x = 440.64

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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.