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Finding the Fourth Proportional to 427.98, 642.13 and 274.29

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Solution

The fourth proportional to 427.98, 642.13 and 274.29 is: 411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 642.13 = 274.29 : x
  2. Step 2: Convert to fraction form
    427.98/642.13 = 274.29/x
  3. Step 3: Cross multiply
    427.98x = 642.13 × 274.29
  4. Step 4: Simplify right side
    427.98x = 176,126.74
  5. Step 5: Solve for x
    x = 176,126.74/427.98
  6. Step 6: Final answer
    x = 411.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.