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Finding the Fourth Proportional to 289.57, 399.04 and 206.45

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Solution

The fourth proportional to 289.57, 399.04 and 206.45 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.57 : 399.04 = 206.45 : x
  2. Step 2: Convert to fraction form
    289.57/399.04 = 206.45/x
  3. Step 3: Cross multiply
    289.57x = 399.04 × 206.45
  4. Step 4: Simplify right side
    289.57x = 82,381.81
  5. Step 5: Solve for x
    x = 82,381.81/289.57
  6. Step 6: Final answer
    x = 284.50

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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.