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Finding the Fourth Proportional to 439.64, 606.82 and 274.02

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Solution

The fourth proportional to 439.64, 606.82 and 274.02 is: 378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.64 : 606.82 = 274.02 : x
  2. Step 2: Convert to fraction form
    439.64/606.82 = 274.02/x
  3. Step 3: Cross multiply
    439.64x = 606.82 × 274.02
  4. Step 4: Simplify right side
    439.64x = 166,280.82
  5. Step 5: Solve for x
    x = 166,280.82/439.64
  6. Step 6: Final answer
    x = 378.22

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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.