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Finding the Fourth Proportional to 405.28, 559.09 and 255.83

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Solution

The fourth proportional to 405.28, 559.09 and 255.83 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 559.09 = 255.83 : x
  2. Step 2: Convert to fraction form
    405.28/559.09 = 255.83/x
  3. Step 3: Cross multiply
    405.28x = 559.09 × 255.83
  4. Step 4: Simplify right side
    405.28x = 143,030.72
  5. Step 5: Solve for x
    x = 143,030.72/405.28
  6. Step 6: Final answer
    x = 352.92

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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.