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Finding the Fourth Proportional to 405.20, 559.02 and 371.18

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Solution

The fourth proportional to 405.20, 559.02 and 371.18 is: 512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.20 : 559.02 = 371.18 : x
  2. Step 2: Convert to fraction form
    405.20/559.02 = 371.18/x
  3. Step 3: Cross multiply
    405.20x = 559.02 × 371.18
  4. Step 4: Simplify right side
    405.20x = 207,497.04
  5. Step 5: Solve for x
    x = 207,497.04/405.20
  6. Step 6: Final answer
    x = 512.09

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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.