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Finding the Fourth Proportional to 442.49, 610.61 and 245.99

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Solution

The fourth proportional to 442.49, 610.61 and 245.99 is: 339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.49 : 610.61 = 245.99 : x
  2. Step 2: Convert to fraction form
    442.49/610.61 = 245.99/x
  3. Step 3: Cross multiply
    442.49x = 610.61 × 245.99
  4. Step 4: Simplify right side
    442.49x = 150,204.25
  5. Step 5: Solve for x
    x = 150,204.25/442.49
  6. Step 6: Final answer
    x = 339.46

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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.