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Finding the Fourth Proportional to 464.14, 640.23 and 298.09

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Solution

The fourth proportional to 464.14, 640.23 and 298.09 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 640.23 = 298.09 : x
  2. Step 2: Convert to fraction form
    464.14/640.23 = 298.09/x
  3. Step 3: Cross multiply
    464.14x = 640.23 × 298.09
  4. Step 4: Simplify right side
    464.14x = 190,846.16
  5. Step 5: Solve for x
    x = 190,846.16/464.14
  6. Step 6: Final answer
    x = 411.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.