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Finding the Fourth Proportional to 289.78, 434.72 and 116.46

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Solution

The fourth proportional to 289.78, 434.72 and 116.46 is: 174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.78 : 434.72 = 116.46 : x
  2. Step 2: Convert to fraction form
    289.78/434.72 = 116.46/x
  3. Step 3: Cross multiply
    289.78x = 434.72 × 116.46
  4. Step 4: Simplify right side
    289.78x = 50,627.06
  5. Step 5: Solve for x
    x = 50,627.06/289.78
  6. Step 6: Final answer
    x = 174.71

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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.