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Finding the Fourth Proportional to 442.51, 610.66 and 246.03

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Solution

The fourth proportional to 442.51, 610.66 and 246.03 is: 339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.51 : 610.66 = 246.03 : x
  2. Step 2: Convert to fraction form
    442.51/610.66 = 246.03/x
  3. Step 3: Cross multiply
    442.51x = 610.66 × 246.03
  4. Step 4: Simplify right side
    442.51x = 150,238.70
  5. Step 5: Solve for x
    x = 150,238.70/442.51
  6. Step 6: Final answer
    x = 339.52

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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.