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Finding the Fourth Proportional to 333.97, 503.81 and 333.29

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Solution

The fourth proportional to 333.97, 503.81 and 333.29 is: 502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.97 : 503.81 = 333.29 : x
  2. Step 2: Convert to fraction form
    333.97/503.81 = 333.29/x
  3. Step 3: Cross multiply
    333.97x = 503.81 × 333.29
  4. Step 4: Simplify right side
    333.97x = 167,913.79
  5. Step 5: Solve for x
    x = 167,913.79/333.97
  6. Step 6: Final answer
    x = 502.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.