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Finding the Fourth Proportional to 464.87, 697.24 and 233.72

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Solution

The fourth proportional to 464.87, 697.24 and 233.72 is: 350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 697.24 = 233.72 : x
  2. Step 2: Convert to fraction form
    464.87/697.24 = 233.72/x
  3. Step 3: Cross multiply
    464.87x = 697.24 × 233.72
  4. Step 4: Simplify right side
    464.87x = 162,958.93
  5. Step 5: Solve for x
    x = 162,958.93/464.87
  6. Step 6: Final answer
    x = 350.55

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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.