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Finding the Fourth Proportional to 464.99, 698.00 and 270.21

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Solution

The fourth proportional to 464.99, 698.00 and 270.21 is: 405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 698.00 = 270.21 : x
  2. Step 2: Convert to fraction form
    464.99/698.00 = 270.21/x
  3. Step 3: Cross multiply
    464.99x = 698.00 × 270.21
  4. Step 4: Simplify right side
    464.99x = 188,604.51
  5. Step 5: Solve for x
    x = 188,604.51/464.99
  6. Step 6: Final answer
    x = 405.61

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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.