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Finding the Fourth Proportional to 464.09, 696.11 and 190.17

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Solution

The fourth proportional to 464.09, 696.11 and 190.17 is: 285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 696.11 = 190.17 : x
  2. Step 2: Convert to fraction form
    464.09/696.11 = 190.17/x
  3. Step 3: Cross multiply
    464.09x = 696.11 × 190.17
  4. Step 4: Simplify right side
    464.09x = 132,379.24
  5. Step 5: Solve for x
    x = 132,379.24/464.09
  6. Step 6: Final answer
    x = 285.24

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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.