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Finding the Fourth Proportional to 441.76, 609.60 and 284.50

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Solution

The fourth proportional to 441.76, 609.60 and 284.50 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.76 : 609.60 = 284.50 : x
  2. Step 2: Convert to fraction form
    441.76/609.60 = 284.50/x
  3. Step 3: Cross multiply
    441.76x = 609.60 × 284.50
  4. Step 4: Simplify right side
    441.76x = 173,431.20
  5. Step 5: Solve for x
    x = 173,431.20/441.76
  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.