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Finding the Fourth Proportional to 434.97, 599.40 and 301.73

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Solution

The fourth proportional to 434.97, 599.40 and 301.73 is: 415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.97 : 599.40 = 301.73 : x
  2. Step 2: Convert to fraction form
    434.97/599.40 = 301.73/x
  3. Step 3: Cross multiply
    434.97x = 599.40 × 301.73
  4. Step 4: Simplify right side
    434.97x = 180,853.97
  5. Step 5: Solve for x
    x = 180,853.97/434.97
  6. Step 6: Final answer
    x = 415.78

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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.