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Finding the Fourth Proportional to 464.14, 696.96 and 294.22

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Solution

The fourth proportional to 464.14, 696.96 and 294.22 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 696.96 = 294.22 : x
  2. Step 2: Convert to fraction form
    464.14/696.96 = 294.22/x
  3. Step 3: Cross multiply
    464.14x = 696.96 × 294.22
  4. Step 4: Simplify right side
    464.14x = 205,059.57
  5. Step 5: Solve for x
    x = 205,059.57/464.14
  6. Step 6: Final answer
    x = 441.81

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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.