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Finding the Fourth Proportional to 403.44, 604.65 and 197.70

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Solution

The fourth proportional to 403.44, 604.65 and 197.70 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.44 : 604.65 = 197.70 : x
  2. Step 2: Convert to fraction form
    403.44/604.65 = 197.70/x
  3. Step 3: Cross multiply
    403.44x = 604.65 × 197.70
  4. Step 4: Simplify right side
    403.44x = 119,539.31
  5. Step 5: Solve for x
    x = 119,539.31/403.44
  6. Step 6: Final answer
    x = 296.30

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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.