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Finding the Fourth Proportional to 464.69, 697.39 and 172.46

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Solution

The fourth proportional to 464.69, 697.39 and 172.46 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.69 : 697.39 = 172.46 : x
  2. Step 2: Convert to fraction form
    464.69/697.39 = 172.46/x
  3. Step 3: Cross multiply
    464.69x = 697.39 × 172.46
  4. Step 4: Simplify right side
    464.69x = 120,273.19
  5. Step 5: Solve for x
    x = 120,273.19/464.69
  6. Step 6: Final answer
    x = 258.82

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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.