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Finding the Fourth Proportional to 464.90, 697.36 and 172.41

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Solution

The fourth proportional to 464.90, 697.36 and 172.41 is: 258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 697.36 = 172.41 : x
  2. Step 2: Convert to fraction form
    464.90/697.36 = 172.41/x
  3. Step 3: Cross multiply
    464.90x = 697.36 × 172.41
  4. Step 4: Simplify right side
    464.90x = 120,231.84
  5. Step 5: Solve for x
    x = 120,231.84/464.90
  6. Step 6: Final answer
    x = 258.62

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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.