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Finding the Fourth Proportional to 335.80, 503.77 and 301.73

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Solution

The fourth proportional to 335.80, 503.77 and 301.73 is: 452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.80 : 503.77 = 301.73 : x
  2. Step 2: Convert to fraction form
    335.80/503.77 = 301.73/x
  3. Step 3: Cross multiply
    335.80x = 503.77 × 301.73
  4. Step 4: Simplify right side
    335.80x = 151,999.81
  5. Step 5: Solve for x
    x = 151,999.81/335.80
  6. Step 6: Final answer
    x = 452.66

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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.