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Finding the Fourth Proportional to 441.84, 609.83 and 284.45

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Solution

The fourth proportional to 441.84, 609.83 and 284.45 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 609.83 = 284.45 : x
  2. Step 2: Convert to fraction form
    441.84/609.83 = 284.45/x
  3. Step 3: Cross multiply
    441.84x = 609.83 × 284.45
  4. Step 4: Simplify right side
    441.84x = 173,463.96
  5. Step 5: Solve for x
    x = 173,463.96/441.84
  6. Step 6: Final answer
    x = 392.59

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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.