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Finding the Fourth Proportional to 470.44, 704.44 and 340.44

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Solution

The fourth proportional to 470.44, 704.44 and 340.44 is: 509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.44 : 704.44 = 340.44 : x
  2. Step 2: Convert to fraction form
    470.44/704.44 = 340.44/x
  3. Step 3: Cross multiply
    470.44x = 704.44 × 340.44
  4. Step 4: Simplify right side
    470.44x = 239,819.55
  5. Step 5: Solve for x
    x = 239,819.55/470.44
  6. Step 6: Final answer
    x = 509.78

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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.