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Finding the Fourth Proportional to 464.11, 696.24 and 155.89

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Solution

The fourth proportional to 464.11, 696.24 and 155.89 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.11 : 696.24 = 155.89 : x
  2. Step 2: Convert to fraction form
    464.11/696.24 = 155.89/x
  3. Step 3: Cross multiply
    464.11x = 696.24 × 155.89
  4. Step 4: Simplify right side
    464.11x = 108,537.72
  5. Step 5: Solve for x
    x = 108,537.72/464.11
  6. Step 6: Final answer
    x = 233.86

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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.