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Finding the Fourth Proportional to 442.10, 610.16 and 245.66

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Solution

The fourth proportional to 442.10, 610.16 and 245.66 is: 339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 610.16 = 245.66 : x
  2. Step 2: Convert to fraction form
    442.10/610.16 = 245.66/x
  3. Step 3: Cross multiply
    442.10x = 610.16 × 245.66
  4. Step 4: Simplify right side
    442.10x = 149,891.91
  5. Step 5: Solve for x
    x = 149,891.91/442.10
  6. Step 6: Final answer
    x = 339.05

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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.