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Finding the Fourth Proportional to 442.24, 610.06 and 284.59

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Solution

The fourth proportional to 442.24, 610.06 and 284.59 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.24 : 610.06 = 284.59 : x
  2. Step 2: Convert to fraction form
    442.24/610.06 = 284.59/x
  3. Step 3: Cross multiply
    442.24x = 610.06 × 284.59
  4. Step 4: Simplify right side
    442.24x = 173,616.98
  5. Step 5: Solve for x
    x = 173,616.98/442.24
  6. Step 6: Final answer
    x = 392.59

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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.