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Finding the Fourth Proportional to 464.24, 640.28 and 298.47

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Solution

The fourth proportional to 464.24, 640.28 and 298.47 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 640.28 = 298.47 : x
  2. Step 2: Convert to fraction form
    464.24/640.28 = 298.47/x
  3. Step 3: Cross multiply
    464.24x = 640.28 × 298.47
  4. Step 4: Simplify right side
    464.24x = 191,104.37
  5. Step 5: Solve for x
    x = 191,104.37/464.24
  6. Step 6: Final answer
    x = 411.65

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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.