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Finding the Fourth Proportional to 467.65, 701.30 and 193.59

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Solution

The fourth proportional to 467.65, 701.30 and 193.59 is: 290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.65 : 701.30 = 193.59 : x
  2. Step 2: Convert to fraction form
    467.65/701.30 = 193.59/x
  3. Step 3: Cross multiply
    467.65x = 701.30 × 193.59
  4. Step 4: Simplify right side
    467.65x = 135,764.67
  5. Step 5: Solve for x
    x = 135,764.67/467.65
  6. Step 6: Final answer
    x = 290.31

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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.