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Finding the Fourth Proportional to 464.97, 697.66 and 176.34

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Solution

The fourth proportional to 464.97, 697.66 and 176.34 is: 264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.97 : 697.66 = 176.34 : x
  2. Step 2: Convert to fraction form
    464.97/697.66 = 176.34/x
  3. Step 3: Cross multiply
    464.97x = 697.66 × 176.34
  4. Step 4: Simplify right side
    464.97x = 123,028.53
  5. Step 5: Solve for x
    x = 123,028.53/464.97
  6. Step 6: Final answer
    x = 264.59

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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.