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Finding the Fourth Proportional to 397.06, 595.80 and 214.42

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Solution

The fourth proportional to 397.06, 595.80 and 214.42 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.06 : 595.80 = 214.42 : x
  2. Step 2: Convert to fraction form
    397.06/595.80 = 214.42/x
  3. Step 3: Cross multiply
    397.06x = 595.80 × 214.42
  4. Step 4: Simplify right side
    397.06x = 127,751.44
  5. Step 5: Solve for x
    x = 127,751.44/397.06
  6. Step 6: Final answer
    x = 321.74

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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.