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Finding the Fourth Proportional to 397.97, 595.33 and 321.02

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Solution

The fourth proportional to 397.97, 595.33 and 321.02 is: 480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 595.33 = 321.02 : x
  2. Step 2: Convert to fraction form
    397.97/595.33 = 321.02/x
  3. Step 3: Cross multiply
    397.97x = 595.33 × 321.02
  4. Step 4: Simplify right side
    397.97x = 191,112.84
  5. Step 5: Solve for x
    x = 191,112.84/397.97
  6. Step 6: Final answer
    x = 480.22

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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.