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Finding the Fourth Proportional to 442.65, 610.97 and 293.31

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Solution

The fourth proportional to 442.65, 610.97 and 293.31 is: 404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 610.97 = 293.31 : x
  2. Step 2: Convert to fraction form
    442.65/610.97 = 293.31/x
  3. Step 3: Cross multiply
    442.65x = 610.97 × 293.31
  4. Step 4: Simplify right side
    442.65x = 179,202.14
  5. Step 5: Solve for x
    x = 179,202.14/442.65
  6. Step 6: Final answer
    x = 404.84

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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.