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Finding the Fourth Proportional to 397.70, 596.10 and 214.76

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Solution

The fourth proportional to 397.70, 596.10 and 214.76 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 596.10 = 214.76 : x
  2. Step 2: Convert to fraction form
    397.70/596.10 = 214.76/x
  3. Step 3: Cross multiply
    397.70x = 596.10 × 214.76
  4. Step 4: Simplify right side
    397.70x = 128,018.44
  5. Step 5: Solve for x
    x = 128,018.44/397.70
  6. Step 6: Final answer
    x = 321.90

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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.