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Finding the Fourth Proportional to 406.29, 609.47 and 189.75

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Solution

The fourth proportional to 406.29, 609.47 and 189.75 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 609.47 = 189.75 : x
  2. Step 2: Convert to fraction form
    406.29/609.47 = 189.75/x
  3. Step 3: Cross multiply
    406.29x = 609.47 × 189.75
  4. Step 4: Simplify right side
    406.29x = 115,646.93
  5. Step 5: Solve for x
    x = 115,646.93/406.29
  6. Step 6: Final answer
    x = 284.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.