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Finding the Fourth Proportional to 399.64, 598.34 and 204.22

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Solution

The fourth proportional to 399.64, 598.34 and 204.22 is: 305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.64 : 598.34 = 204.22 : x
  2. Step 2: Convert to fraction form
    399.64/598.34 = 204.22/x
  3. Step 3: Cross multiply
    399.64x = 598.34 × 204.22
  4. Step 4: Simplify right side
    399.64x = 122,190.00
  5. Step 5: Solve for x
    x = 122,190.00/399.64
  6. Step 6: Final answer
    x = 305.75

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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.