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Finding the Fourth Proportional to 464.91, 697.72 and 172.59

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Solution

The fourth proportional to 464.91, 697.72 and 172.59 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 697.72 = 172.59 : x
  2. Step 2: Convert to fraction form
    464.91/697.72 = 172.59/x
  3. Step 3: Cross multiply
    464.91x = 697.72 × 172.59
  4. Step 4: Simplify right side
    464.91x = 120,419.49
  5. Step 5: Solve for x
    x = 120,419.49/464.91
  6. Step 6: Final answer
    x = 259.02

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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.