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Finding the Fourth Proportional to 451.86, 622.40 and 353.44

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Solution

The fourth proportional to 451.86, 622.40 and 353.44 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.86 : 622.40 = 353.44 : x
  2. Step 2: Convert to fraction form
    451.86/622.40 = 353.44/x
  3. Step 3: Cross multiply
    451.86x = 622.40 × 353.44
  4. Step 4: Simplify right side
    451.86x = 219,981.06
  5. Step 5: Solve for x
    x = 219,981.06/451.86
  6. Step 6: Final answer
    x = 486.83

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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.