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Finding the Fourth Proportional to 402.66, 603.74 and 197.02

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Solution

The fourth proportional to 402.66, 603.74 and 197.02 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.66 : 603.74 = 197.02 : x
  2. Step 2: Convert to fraction form
    402.66/603.74 = 197.02/x
  3. Step 3: Cross multiply
    402.66x = 603.74 × 197.02
  4. Step 4: Simplify right side
    402.66x = 118,948.85
  5. Step 5: Solve for x
    x = 118,948.85/402.66
  6. Step 6: Final answer
    x = 295.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.