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Finding the Fourth Proportional to 442.25, 610.36 and 284.82

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Solution

The fourth proportional to 442.25, 610.36 and 284.82 is: 393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 610.36 = 284.82 : x
  2. Step 2: Convert to fraction form
    442.25/610.36 = 284.82/x
  3. Step 3: Cross multiply
    442.25x = 610.36 × 284.82
  4. Step 4: Simplify right side
    442.25x = 173,842.74
  5. Step 5: Solve for x
    x = 173,842.74/442.25
  6. Step 6: Final answer
    x = 393.09

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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.