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Finding the Fourth Proportional to 464.92, 641.46 and 299.14

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Solution

The fourth proportional to 464.92, 641.46 and 299.14 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 641.46 = 299.14 : x
  2. Step 2: Convert to fraction form
    464.92/641.46 = 299.14/x
  3. Step 3: Cross multiply
    464.92x = 641.46 × 299.14
  4. Step 4: Simplify right side
    464.92x = 191,886.34
  5. Step 5: Solve for x
    x = 191,886.34/464.92
  6. Step 6: Final answer
    x = 412.73

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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.