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Finding the Fourth Proportional to 451.85, 677.19 and 335.39

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Solution

The fourth proportional to 451.85, 677.19 and 335.39 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.85 : 677.19 = 335.39 : x
  2. Step 2: Convert to fraction form
    451.85/677.19 = 335.39/x
  3. Step 3: Cross multiply
    451.85x = 677.19 × 335.39
  4. Step 4: Simplify right side
    451.85x = 227,121.61
  5. Step 5: Solve for x
    x = 227,121.61/451.85
  6. Step 6: Final answer
    x = 502.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.