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Finding the Fourth Proportional to 441.86, 609.39 and 415.43

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Solution

The fourth proportional to 441.86, 609.39 and 415.43 is: 572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.86 : 609.39 = 415.43 : x
  2. Step 2: Convert to fraction form
    441.86/609.39 = 415.43/x
  3. Step 3: Cross multiply
    441.86x = 609.39 × 415.43
  4. Step 4: Simplify right side
    441.86x = 253,155.84
  5. Step 5: Solve for x
    x = 253,155.84/441.86
  6. Step 6: Final answer
    x = 572.94

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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.