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Finding the Fourth Proportional to 399.14, 598.90 and 213.93

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Solution

The fourth proportional to 399.14, 598.90 and 213.93 is: 321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.14 : 598.90 = 213.93 : x
  2. Step 2: Convert to fraction form
    399.14/598.90 = 213.93/x
  3. Step 3: Cross multiply
    399.14x = 598.90 × 213.93
  4. Step 4: Simplify right side
    399.14x = 128,122.68
  5. Step 5: Solve for x
    x = 128,122.68/399.14
  6. Step 6: Final answer
    x = 321.00

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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.