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Finding the Fourth Proportional to 464.96, 641.71 and 299.16

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Solution

The fourth proportional to 464.96, 641.71 and 299.16 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.96 : 641.71 = 299.16 : x
  2. Step 2: Convert to fraction form
    464.96/641.71 = 299.16/x
  3. Step 3: Cross multiply
    464.96x = 641.71 × 299.16
  4. Step 4: Simplify right side
    464.96x = 191,973.96
  5. Step 5: Solve for x
    x = 191,973.96/464.96
  6. Step 6: Final answer
    x = 412.88

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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.