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Finding the Fourth Proportional to 464.91, 641.48 and 288.03

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Solution

The fourth proportional to 464.91, 641.48 and 288.03 is: 397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 641.48 = 288.03 : x
  2. Step 2: Convert to fraction form
    464.91/641.48 = 288.03/x
  3. Step 3: Cross multiply
    464.91x = 641.48 × 288.03
  4. Step 4: Simplify right side
    464.91x = 184,764.04
  5. Step 5: Solve for x
    x = 184,764.04/464.91
  6. Step 6: Final answer
    x = 397.42

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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.