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Finding the Fourth Proportional to 464.99, 641.42 and 287.82

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Solution

The fourth proportional to 464.99, 641.42 and 287.82 is: 397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 641.42 = 287.82 : x
  2. Step 2: Convert to fraction form
    464.99/641.42 = 287.82/x
  3. Step 3: Cross multiply
    464.99x = 641.42 × 287.82
  4. Step 4: Simplify right side
    464.99x = 184,613.14
  5. Step 5: Solve for x
    x = 184,613.14/464.99
  6. Step 6: Final answer
    x = 397.03

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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.