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Finding the Fourth Proportional to 441.37, 609.37 and 284.06

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Solution

The fourth proportional to 441.37, 609.37 and 284.06 is: 392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.37 : 609.37 = 284.06 : x
  2. Step 2: Convert to fraction form
    441.37/609.37 = 284.06/x
  3. Step 3: Cross multiply
    441.37x = 609.37 × 284.06
  4. Step 4: Simplify right side
    441.37x = 173,096.17
  5. Step 5: Solve for x
    x = 173,096.17/441.37
  6. Step 6: Final answer
    x = 392.18

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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.