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Finding the Fourth Proportional to 273.98, 411 and 258.14

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Solution

The fourth proportional to 273.98, 411 and 258.14 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 411 = 258.14 : x
  2. Step 2: Convert to fraction form
    273.98/411 = 258.14/x
  3. Step 3: Cross multiply
    273.98x = 411 × 258.14
  4. Step 4: Simplify right side
    273.98x = 106,095.54
  5. Step 5: Solve for x
    x = 106,095.54/273.98
  6. Step 6: Final answer
    x = 387.24

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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.