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Finding the Fourth Proportional to 464.55, 697.07 and 200.97

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Solution

The fourth proportional to 464.55, 697.07 and 200.97 is: 301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 697.07 = 200.97 : x
  2. Step 2: Convert to fraction form
    464.55/697.07 = 200.97/x
  3. Step 3: Cross multiply
    464.55x = 697.07 × 200.97
  4. Step 4: Simplify right side
    464.55x = 140,090.16
  5. Step 5: Solve for x
    x = 140,090.16/464.55
  6. Step 6: Final answer
    x = 301.56

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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.