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Finding the Fourth Proportional to 470.33, 704.98 and 196.24

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Solution

The fourth proportional to 470.33, 704.98 and 196.24 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 704.98 = 196.24 : x
  2. Step 2: Convert to fraction form
    470.33/704.98 = 196.24/x
  3. Step 3: Cross multiply
    470.33x = 704.98 × 196.24
  4. Step 4: Simplify right side
    470.33x = 138,344.29
  5. Step 5: Solve for x
    x = 138,344.29/470.33
  6. Step 6: Final answer
    x = 294.15

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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.