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Finding the Fourth Proportional to 289.30, 434 and 94.34

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Solution

The fourth proportional to 289.30, 434 and 94.34 is: 141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.30 : 434 = 94.34 : x
  2. Step 2: Convert to fraction form
    289.30/434 = 94.34/x
  3. Step 3: Cross multiply
    289.30x = 434 × 94.34
  4. Step 4: Simplify right side
    289.30x = 40,943.56
  5. Step 5: Solve for x
    x = 40,943.56/289.30
  6. Step 6: Final answer
    x = 141.53

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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.