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Finding the Fourth Proportional to 442.59, 610.68 and 274.49

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Solution

The fourth proportional to 442.59, 610.68 and 274.49 is: 378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 610.68 = 274.49 : x
  2. Step 2: Convert to fraction form
    442.59/610.68 = 274.49/x
  3. Step 3: Cross multiply
    442.59x = 610.68 × 274.49
  4. Step 4: Simplify right side
    442.59x = 167,622.50
  5. Step 5: Solve for x
    x = 167,622.50/442.59
  6. Step 6: Final answer
    x = 378.73

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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.