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Finding the Fourth Proportional to 399.00, 597.23 and 213.65

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Solution

The fourth proportional to 399.00, 597.23 and 213.65 is: 319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.00 : 597.23 = 213.65 : x
  2. Step 2: Convert to fraction form
    399.00/597.23 = 213.65/x
  3. Step 3: Cross multiply
    399.00x = 597.23 × 213.65
  4. Step 4: Simplify right side
    399.00x = 127,597.18
  5. Step 5: Solve for x
    x = 127,597.18/399.00
  6. Step 6: Final answer
    x = 319.79

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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.