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Finding the Fourth Proportional to 441.83, 609.56 and 284.42

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Solution

The fourth proportional to 441.83, 609.56 and 284.42 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.83 : 609.56 = 284.42 : x
  2. Step 2: Convert to fraction form
    441.83/609.56 = 284.42/x
  3. Step 3: Cross multiply
    441.83x = 609.56 × 284.42
  4. Step 4: Simplify right side
    441.83x = 173,372.22
  5. Step 5: Solve for x
    x = 173,372.22/441.83
  6. Step 6: Final answer
    x = 392.39

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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.