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Finding the Fourth Proportional to 464.54, 697.10 and 175.97

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Solution

The fourth proportional to 464.54, 697.10 and 175.97 is: 264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 697.10 = 175.97 : x
  2. Step 2: Convert to fraction form
    464.54/697.10 = 175.97/x
  3. Step 3: Cross multiply
    464.54x = 697.10 × 175.97
  4. Step 4: Simplify right side
    464.54x = 122,664.32
  5. Step 5: Solve for x
    x = 122,664.32/464.54
  6. Step 6: Final answer
    x = 264.06

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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.