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Finding the Fourth Proportional to 464.57, 697.20 and 172.34

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Solution

The fourth proportional to 464.57, 697.20 and 172.34 is: 258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.57 : 697.20 = 172.34 : x
  2. Step 2: Convert to fraction form
    464.57/697.20 = 172.34/x
  3. Step 3: Cross multiply
    464.57x = 697.20 × 172.34
  4. Step 4: Simplify right side
    464.57x = 120,155.45
  5. Step 5: Solve for x
    x = 120,155.45/464.57
  6. Step 6: Final answer
    x = 258.64

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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.