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Finding the Fourth Proportional to 397.68, 594.99 and 215.21

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Solution

The fourth proportional to 397.68, 594.99 and 215.21 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 594.99 = 215.21 : x
  2. Step 2: Convert to fraction form
    397.68/594.99 = 215.21/x
  3. Step 3: Cross multiply
    397.68x = 594.99 × 215.21
  4. Step 4: Simplify right side
    397.68x = 128,044.82
  5. Step 5: Solve for x
    x = 128,044.82/397.68
  6. Step 6: Final answer
    x = 321.98

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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.