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Finding the Fourth Proportional to 273.83, 410.06 and 258.80

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Solution

The fourth proportional to 273.83, 410.06 and 258.80 is: 387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.83 : 410.06 = 258.80 : x
  2. Step 2: Convert to fraction form
    273.83/410.06 = 258.80/x
  3. Step 3: Cross multiply
    273.83x = 410.06 × 258.80
  4. Step 4: Simplify right side
    273.83x = 106,122.12
  5. Step 5: Solve for x
    x = 106,122.12/273.83
  6. Step 6: Final answer
    x = 387.55

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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.