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Finding the Fourth Proportional to 442.37, 610.51 and 245.90

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Solution

The fourth proportional to 442.37, 610.51 and 245.90 is: 339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 610.51 = 245.90 : x
  2. Step 2: Convert to fraction form
    442.37/610.51 = 245.90/x
  3. Step 3: Cross multiply
    442.37x = 610.51 × 245.90
  4. Step 4: Simplify right side
    442.37x = 150,124.41
  5. Step 5: Solve for x
    x = 150,124.41/442.37
  6. Step 6: Final answer
    x = 339.36

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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.