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Finding the Fourth Proportional to 441.62, 609.71 and 284.33

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Solution

The fourth proportional to 441.62, 609.71 and 284.33 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.62 : 609.71 = 284.33 : x
  2. Step 2: Convert to fraction form
    441.62/609.71 = 284.33/x
  3. Step 3: Cross multiply
    441.62x = 609.71 × 284.33
  4. Step 4: Simplify right side
    441.62x = 173,354.37
  5. Step 5: Solve for x
    x = 173,354.37/441.62
  6. Step 6: Final answer
    x = 392.55

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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.