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Finding the Fourth Proportional to 405.27, 559.44 and 293.49

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Solution

The fourth proportional to 405.27, 559.44 and 293.49 is: 405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 559.44 = 293.49 : x
  2. Step 2: Convert to fraction form
    405.27/559.44 = 293.49/x
  3. Step 3: Cross multiply
    405.27x = 559.44 × 293.49
  4. Step 4: Simplify right side
    405.27x = 164,190.05
  5. Step 5: Solve for x
    x = 164,190.05/405.27
  6. Step 6: Final answer
    x = 405.14

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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.