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Finding the Fourth Proportional to 464.74, 640.97 and 298.97

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Solution

The fourth proportional to 464.74, 640.97 and 298.97 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.74 : 640.97 = 298.97 : x
  2. Step 2: Convert to fraction form
    464.74/640.97 = 298.97/x
  3. Step 3: Cross multiply
    464.74x = 640.97 × 298.97
  4. Step 4: Simplify right side
    464.74x = 191,630.80
  5. Step 5: Solve for x
    x = 191,630.80/464.74
  6. Step 6: Final answer
    x = 412.34

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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.