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Finding the Fourth Proportional to 447.62, 670.95 and 204.30

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Solution

The fourth proportional to 447.62, 670.95 and 204.30 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.62 : 670.95 = 204.30 : x
  2. Step 2: Convert to fraction form
    447.62/670.95 = 204.30/x
  3. Step 3: Cross multiply
    447.62x = 670.95 × 204.30
  4. Step 4: Simplify right side
    447.62x = 137,075.09
  5. Step 5: Solve for x
    x = 137,075.09/447.62
  6. Step 6: Final answer
    x = 306.23

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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.