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Finding the Fourth Proportional to 441.68, 609.27 and 284.18

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Solution

The fourth proportional to 441.68, 609.27 and 284.18 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.68 : 609.27 = 284.18 : x
  2. Step 2: Convert to fraction form
    441.68/609.27 = 284.18/x
  3. Step 3: Cross multiply
    441.68x = 609.27 × 284.18
  4. Step 4: Simplify right side
    441.68x = 173,142.35
  5. Step 5: Solve for x
    x = 173,142.35/441.68
  6. Step 6: Final answer
    x = 392.01

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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.