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Finding the Fourth Proportional to 467.44, 701.16 and 193.54

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Solution

The fourth proportional to 467.44, 701.16 and 193.54 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 701.16 = 193.54 : x
  2. Step 2: Convert to fraction form
    467.44/701.16 = 193.54/x
  3. Step 3: Cross multiply
    467.44x = 701.16 × 193.54
  4. Step 4: Simplify right side
    467.44x = 135,699.37
  5. Step 5: Solve for x
    x = 135,699.37/467.44
  6. Step 6: Final answer
    x = 290.30

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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.