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Finding the Fourth Proportional to 442.41, 610.50 and 274.43

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Solution

The fourth proportional to 442.41, 610.50 and 274.43 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 610.50 = 274.43 : x
  2. Step 2: Convert to fraction form
    442.41/610.50 = 274.43/x
  3. Step 3: Cross multiply
    442.41x = 610.50 × 274.43
  4. Step 4: Simplify right side
    442.41x = 167,536.46
  5. Step 5: Solve for x
    x = 167,536.46/442.41
  6. Step 6: Final answer
    x = 378.69

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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.