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Finding the Fourth Proportional to 405.52, 559.82 and 273.43

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Solution

The fourth proportional to 405.52, 559.82 and 273.43 is: 377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 559.82 = 273.43 : x
  2. Step 2: Convert to fraction form
    405.52/559.82 = 273.43/x
  3. Step 3: Cross multiply
    405.52x = 559.82 × 273.43
  4. Step 4: Simplify right side
    405.52x = 153,071.58
  5. Step 5: Solve for x
    x = 153,071.58/405.52
  6. Step 6: Final answer
    x = 377.47

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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.