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Finding the Fourth Proportional to 289.67, 399.53 and 279.81

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Solution

The fourth proportional to 289.67, 399.53 and 279.81 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.67 : 399.53 = 279.81 : x
  2. Step 2: Convert to fraction form
    289.67/399.53 = 279.81/x
  3. Step 3: Cross multiply
    289.67x = 399.53 × 279.81
  4. Step 4: Simplify right side
    289.67x = 111,793.19
  5. Step 5: Solve for x
    x = 111,793.19/289.67
  6. Step 6: Final answer
    x = 385.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.