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Finding the Fourth Proportional to 390.95, 539.67 and 251.25

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Solution

The fourth proportional to 390.95, 539.67 and 251.25 is: 346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.95 : 539.67 = 251.25 : x
  2. Step 2: Convert to fraction form
    390.95/539.67 = 251.25/x
  3. Step 3: Cross multiply
    390.95x = 539.67 × 251.25
  4. Step 4: Simplify right side
    390.95x = 135,592.09
  5. Step 5: Solve for x
    x = 135,592.09/390.95
  6. Step 6: Final answer
    x = 346.83

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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.