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Finding the Fourth Proportional to 464.02, 696.39 and 171.80

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Solution

The fourth proportional to 464.02, 696.39 and 171.80 is: 257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 696.39 = 171.80 : x
  2. Step 2: Convert to fraction form
    464.02/696.39 = 171.80/x
  3. Step 3: Cross multiply
    464.02x = 696.39 × 171.80
  4. Step 4: Simplify right side
    464.02x = 119,637.20
  5. Step 5: Solve for x
    x = 119,637.20/464.02
  6. Step 6: Final answer
    x = 257.83

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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.