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Finding the Fourth Proportional to 464.62, 641.04 and 287.53

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Solution

The fourth proportional to 464.62, 641.04 and 287.53 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 641.04 = 287.53 : x
  2. Step 2: Convert to fraction form
    464.62/641.04 = 287.53/x
  3. Step 3: Cross multiply
    464.62x = 641.04 × 287.53
  4. Step 4: Simplify right side
    464.62x = 184,318.23
  5. Step 5: Solve for x
    x = 184,318.23/464.62
  6. Step 6: Final answer
    x = 396.71

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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.