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Finding the Fourth Proportional to 273.36, 410.45 and 261.84

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Solution

The fourth proportional to 273.36, 410.45 and 261.84 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.36 : 410.45 = 261.84 : x
  2. Step 2: Convert to fraction form
    273.36/410.45 = 261.84/x
  3. Step 3: Cross multiply
    273.36x = 410.45 × 261.84
  4. Step 4: Simplify right side
    273.36x = 107,472.23
  5. Step 5: Solve for x
    x = 107,472.23/273.36
  6. Step 6: Final answer
    x = 393.15

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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.