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Finding the Fourth Proportional to 464.14, 696.04 and 171.57

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Solution

The fourth proportional to 464.14, 696.04 and 171.57 is: 257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 696.04 = 171.57 : x
  2. Step 2: Convert to fraction form
    464.14/696.04 = 171.57/x
  3. Step 3: Cross multiply
    464.14x = 696.04 × 171.57
  4. Step 4: Simplify right side
    464.14x = 119,422.73
  5. Step 5: Solve for x
    x = 119,422.73/464.14
  6. Step 6: Final answer
    x = 257.30

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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.