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Finding the Fourth Proportional to 399.00, 597.94 and 223.14

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Solution

The fourth proportional to 399.00, 597.94 and 223.14 is: 334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.00 : 597.94 = 223.14 : x
  2. Step 2: Convert to fraction form
    399.00/597.94 = 223.14/x
  3. Step 3: Cross multiply
    399.00x = 597.94 × 223.14
  4. Step 4: Simplify right side
    399.00x = 133,423.31
  5. Step 5: Solve for x
    x = 133,423.31/399.00
  6. Step 6: Final answer
    x = 334.40

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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.