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Finding the Fourth Proportional to 406.14, 559.89 and 289.50

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Solution

The fourth proportional to 406.14, 559.89 and 289.50 is: 399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 559.89 = 289.50 : x
  2. Step 2: Convert to fraction form
    406.14/559.89 = 289.50/x
  3. Step 3: Cross multiply
    406.14x = 559.89 × 289.50
  4. Step 4: Simplify right side
    406.14x = 162,083.91
  5. Step 5: Solve for x
    x = 162,083.91/406.14
  6. Step 6: Final answer
    x = 399.09

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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.