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Finding the Fourth Proportional to 464.05, 696.17 and 190.14

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Solution

The fourth proportional to 464.05, 696.17 and 190.14 is: 285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 696.17 = 190.14 : x
  2. Step 2: Convert to fraction form
    464.05/696.17 = 190.14/x
  3. Step 3: Cross multiply
    464.05x = 696.17 × 190.14
  4. Step 4: Simplify right side
    464.05x = 132,367.63
  5. Step 5: Solve for x
    x = 132,367.63/464.05
  6. Step 6: Final answer
    x = 285.24

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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.