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Finding the Fourth Proportional to 470.09, 704.84 and 196.11

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Solution

The fourth proportional to 470.09, 704.84 and 196.11 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 704.84 = 196.11 : x
  2. Step 2: Convert to fraction form
    470.09/704.84 = 196.11/x
  3. Step 3: Cross multiply
    470.09x = 704.84 × 196.11
  4. Step 4: Simplify right side
    470.09x = 138,225.19
  5. Step 5: Solve for x
    x = 138,225.19/470.09
  6. Step 6: Final answer
    x = 294.04

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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.