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Finding the Fourth Proportional to 441.32, 609.30 and 284.03

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Solution

The fourth proportional to 441.32, 609.30 and 284.03 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.32 : 609.30 = 284.03 : x
  2. Step 2: Convert to fraction form
    441.32/609.30 = 284.03/x
  3. Step 3: Cross multiply
    441.32x = 609.30 × 284.03
  4. Step 4: Simplify right side
    441.32x = 173,056.43
  5. Step 5: Solve for x
    x = 173,056.43/441.32
  6. Step 6: Final answer
    x = 392.14

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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.