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Finding the Fourth Proportional to 402.34, 603.91 and 197.14

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Solution

The fourth proportional to 402.34, 603.91 and 197.14 is: 295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.34 : 603.91 = 197.14 : x
  2. Step 2: Convert to fraction form
    402.34/603.91 = 197.14/x
  3. Step 3: Cross multiply
    402.34x = 603.91 × 197.14
  4. Step 4: Simplify right side
    402.34x = 119,051.80
  5. Step 5: Solve for x
    x = 119,051.80/402.34
  6. Step 6: Final answer
    x = 295.90

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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.