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Finding the Fourth Proportional to 442.97, 610.32 and 330.46

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Solution

The fourth proportional to 442.97, 610.32 and 330.46 is: 455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.97 : 610.32 = 330.46 : x
  2. Step 2: Convert to fraction form
    442.97/610.32 = 330.46/x
  3. Step 3: Cross multiply
    442.97x = 610.32 × 330.46
  4. Step 4: Simplify right side
    442.97x = 201,684.82
  5. Step 5: Solve for x
    x = 201,684.82/442.97
  6. Step 6: Final answer
    x = 455.31

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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.