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Finding the Fourth Proportional to 397.20, 595.23 and 214.23

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Solution

The fourth proportional to 397.20, 595.23 and 214.23 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 595.23 = 214.23 : x
  2. Step 2: Convert to fraction form
    397.20/595.23 = 214.23/x
  3. Step 3: Cross multiply
    397.20x = 595.23 × 214.23
  4. Step 4: Simplify right side
    397.20x = 127,516.12
  5. Step 5: Solve for x
    x = 127,516.12/397.20
  6. Step 6: Final answer
    x = 321.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.