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Finding the Fourth Proportional to 305.44, 456.81 and 271.42

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Solution

The fourth proportional to 305.44, 456.81 and 271.42 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 456.81 = 271.42 : x
  2. Step 2: Convert to fraction form
    305.44/456.81 = 271.42/x
  3. Step 3: Cross multiply
    305.44x = 456.81 × 271.42
  4. Step 4: Simplify right side
    305.44x = 123,987.37
  5. Step 5: Solve for x
    x = 123,987.37/305.44
  6. Step 6: Final answer
    x = 405.93

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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.