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Finding the Fourth Proportional to 470.02, 704.85 and 196.24

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Solution

The fourth proportional to 470.02, 704.85 and 196.24 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 704.85 = 196.24 : x
  2. Step 2: Convert to fraction form
    470.02/704.85 = 196.24/x
  3. Step 3: Cross multiply
    470.02x = 704.85 × 196.24
  4. Step 4: Simplify right side
    470.02x = 138,319.76
  5. Step 5: Solve for x
    x = 138,319.76/470.02
  6. Step 6: Final answer
    x = 294.28

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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.