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Finding the Fourth Proportional to 403.16, 604.50 and 197.47

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Solution

The fourth proportional to 403.16, 604.50 and 197.47 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 604.50 = 197.47 : x
  2. Step 2: Convert to fraction form
    403.16/604.50 = 197.47/x
  3. Step 3: Cross multiply
    403.16x = 604.50 × 197.47
  4. Step 4: Simplify right side
    403.16x = 119,370.63
  5. Step 5: Solve for x
    x = 119,370.63/403.16
  6. Step 6: Final answer
    x = 296.09

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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.