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Finding the Fourth Proportional to 464.11, 640.53 and 298.79

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Solution

The fourth proportional to 464.11, 640.53 and 298.79 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.11 : 640.53 = 298.79 : x
  2. Step 2: Convert to fraction form
    464.11/640.53 = 298.79/x
  3. Step 3: Cross multiply
    464.11x = 640.53 × 298.79
  4. Step 4: Simplify right side
    464.11x = 191,383.96
  5. Step 5: Solve for x
    x = 191,383.96/464.11
  6. Step 6: Final answer
    x = 412.37

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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.