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Finding the Fourth Proportional to 403.63, 604.98 and 197.74

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Solution

The fourth proportional to 403.63, 604.98 and 197.74 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.63 : 604.98 = 197.74 : x
  2. Step 2: Convert to fraction form
    403.63/604.98 = 197.74/x
  3. Step 3: Cross multiply
    403.63x = 604.98 × 197.74
  4. Step 4: Simplify right side
    403.63x = 119,629.50
  5. Step 5: Solve for x
    x = 119,629.50/403.63
  6. Step 6: Final answer
    x = 296.39

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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.