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Finding the Fourth Proportional to 464.02, 695.79 and 171.45

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Solution

The fourth proportional to 464.02, 695.79 and 171.45 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 695.79 = 171.45 : x
  2. Step 2: Convert to fraction form
    464.02/695.79 = 171.45/x
  3. Step 3: Cross multiply
    464.02x = 695.79 × 171.45
  4. Step 4: Simplify right side
    464.02x = 119,293.20
  5. Step 5: Solve for x
    x = 119,293.20/464.02
  6. Step 6: Final answer
    x = 257.09

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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.