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Finding the Fourth Proportional to 427.98, 591.26 and 280.96

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Solution

The fourth proportional to 427.98, 591.26 and 280.96 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 591.26 = 280.96 : x
  2. Step 2: Convert to fraction form
    427.98/591.26 = 280.96/x
  3. Step 3: Cross multiply
    427.98x = 591.26 × 280.96
  4. Step 4: Simplify right side
    427.98x = 166,120.41
  5. Step 5: Solve for x
    x = 166,120.41/427.98
  6. Step 6: Final answer
    x = 388.15

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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.