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Finding the Fourth Proportional to 442.29, 663.78 and 287.84

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Solution

The fourth proportional to 442.29, 663.78 and 287.84 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.29 : 663.78 = 287.84 : x
  2. Step 2: Convert to fraction form
    442.29/663.78 = 287.84/x
  3. Step 3: Cross multiply
    442.29x = 663.78 × 287.84
  4. Step 4: Simplify right side
    442.29x = 191,059.82
  5. Step 5: Solve for x
    x = 191,059.82/442.29
  6. Step 6: Final answer
    x = 431.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.