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Finding the Fourth Proportional to 403.07, 604.83 and 197.69

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Solution

The fourth proportional to 403.07, 604.83 and 197.69 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.07 : 604.83 = 197.69 : x
  2. Step 2: Convert to fraction form
    403.07/604.83 = 197.69/x
  3. Step 3: Cross multiply
    403.07x = 604.83 × 197.69
  4. Step 4: Simplify right side
    403.07x = 119,565.82
  5. Step 5: Solve for x
    x = 119,565.82/403.07
  6. Step 6: Final answer
    x = 296.64

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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.