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Finding the Fourth Proportional to 467.69, 701.72 and 193.84

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Solution

The fourth proportional to 467.69, 701.72 and 193.84 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.69 : 701.72 = 193.84 : x
  2. Step 2: Convert to fraction form
    467.69/701.72 = 193.84/x
  3. Step 3: Cross multiply
    467.69x = 701.72 × 193.84
  4. Step 4: Simplify right side
    467.69x = 136,020.14
  5. Step 5: Solve for x
    x = 136,020.14/467.69
  6. Step 6: Final answer
    x = 290.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.