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Finding the Fourth Proportional to 405.22, 559.17 and 230.56

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Solution

The fourth proportional to 405.22, 559.17 and 230.56 is: 318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 559.17 = 230.56 : x
  2. Step 2: Convert to fraction form
    405.22/559.17 = 230.56/x
  3. Step 3: Cross multiply
    405.22x = 559.17 × 230.56
  4. Step 4: Simplify right side
    405.22x = 128,923.98
  5. Step 5: Solve for x
    x = 128,923.98/405.22
  6. Step 6: Final answer
    x = 318.16

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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.