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Finding the Fourth Proportional to 467.57, 701.59 and 193.86

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Solution

The fourth proportional to 467.57, 701.59 and 193.86 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.57 : 701.59 = 193.86 : x
  2. Step 2: Convert to fraction form
    467.57/701.59 = 193.86/x
  3. Step 3: Cross multiply
    467.57x = 701.59 × 193.86
  4. Step 4: Simplify right side
    467.57x = 136,010.24
  5. Step 5: Solve for x
    x = 136,010.24/467.57
  6. Step 6: Final answer
    x = 290.89

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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.