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Finding the Fourth Proportional to 441.60, 609.76 and 284.32

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Solution

The fourth proportional to 441.60, 609.76 and 284.32 is: 392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 609.76 = 284.32 : x
  2. Step 2: Convert to fraction form
    441.60/609.76 = 284.32/x
  3. Step 3: Cross multiply
    441.60x = 609.76 × 284.32
  4. Step 4: Simplify right side
    441.60x = 173,366.96
  5. Step 5: Solve for x
    x = 173,366.96/441.60
  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.