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Finding the Fourth Proportional to 470.14, 704.31 and 264.09

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Solution

The fourth proportional to 470.14, 704.31 and 264.09 is: 395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 704.31 = 264.09 : x
  2. Step 2: Convert to fraction form
    470.14/704.31 = 264.09/x
  3. Step 3: Cross multiply
    470.14x = 704.31 × 264.09
  4. Step 4: Simplify right side
    470.14x = 186,001.23
  5. Step 5: Solve for x
    x = 186,001.23/470.14
  6. Step 6: Final answer
    x = 395.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.