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Finding the Fourth Proportional to 403.36, 604.40 and 194.88

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Solution

The fourth proportional to 403.36, 604.40 and 194.88 is: 292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.36 : 604.40 = 194.88 : x
  2. Step 2: Convert to fraction form
    403.36/604.40 = 194.88/x
  3. Step 3: Cross multiply
    403.36x = 604.40 × 194.88
  4. Step 4: Simplify right side
    403.36x = 117,785.96
  5. Step 5: Solve for x
    x = 117,785.96/403.36
  6. Step 6: Final answer
    x = 292.01

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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.