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Finding the Fourth Proportional to 450.04, 674.52 and 193

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Solution

The fourth proportional to 450.04, 674.52 and 193 is: 289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.04 : 674.52 = 193 : x
  2. Step 2: Convert to fraction form
    450.04/674.52 = 193/x
  3. Step 3: Cross multiply
    450.04x = 674.52 × 193
  4. Step 4: Simplify right side
    450.04x = 130,182.36
  5. Step 5: Solve for x
    x = 130,182.36/450.04
  6. Step 6: Final answer
    x = 289.27

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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.