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Finding the Fourth Proportional to 467.36, 701.04 and 193.30

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Solution

The fourth proportional to 467.36, 701.04 and 193.30 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.36 : 701.04 = 193.30 : x
  2. Step 2: Convert to fraction form
    467.36/701.04 = 193.30/x
  3. Step 3: Cross multiply
    467.36x = 701.04 × 193.30
  4. Step 4: Simplify right side
    467.36x = 135,513.27
  5. Step 5: Solve for x
    x = 135,513.27/467.36
  6. Step 6: Final answer
    x = 289.95

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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.