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Finding the Fourth Proportional to 390.98, 539.71 and 272.97

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Solution

The fourth proportional to 390.98, 539.71 and 272.97 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.98 : 539.71 = 272.97 : x
  2. Step 2: Convert to fraction form
    390.98/539.71 = 272.97/x
  3. Step 3: Cross multiply
    390.98x = 539.71 × 272.97
  4. Step 4: Simplify right side
    390.98x = 147,323.96
  5. Step 5: Solve for x
    x = 147,323.96/390.98
  6. Step 6: Final answer
    x = 376.80

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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.