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Finding the Fourth Proportional to 951.80, 1,427.78 and 367.09

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Solution

The fourth proportional to 951.80, 1,427.78 and 367.09 is: 550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.80 : 1,427.78 = 367.09 : x
  2. Step 2: Convert to fraction form
    951.80/1,427.78 = 367.09/x
  3. Step 3: Cross multiply
    951.80x = 1,427.78 × 367.09
  4. Step 4: Simplify right side
    951.80x = 524,123.76
  5. Step 5: Solve for x
    x = 524,123.76/951.80
  6. Step 6: Final answer
    x = 550.67

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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.