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Finding the Fourth Proportional to 467.85, 701.93 and 294.31

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Solution

The fourth proportional to 467.85, 701.93 and 294.31 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.85 : 701.93 = 294.31 : x
  2. Step 2: Convert to fraction form
    467.85/701.93 = 294.31/x
  3. Step 3: Cross multiply
    467.85x = 701.93 × 294.31
  4. Step 4: Simplify right side
    467.85x = 206,583.55
  5. Step 5: Solve for x
    x = 206,583.55/467.85
  6. Step 6: Final answer
    x = 441.56

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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.