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Finding the Fourth Proportional to 355.59, 490.23 and 266.69

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Solution

The fourth proportional to 355.59, 490.23 and 266.69 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.59 : 490.23 = 266.69 : x
  2. Step 2: Convert to fraction form
    355.59/490.23 = 266.69/x
  3. Step 3: Cross multiply
    355.59x = 490.23 × 266.69
  4. Step 4: Simplify right side
    355.59x = 130,738.88
  5. Step 5: Solve for x
    x = 130,738.88/355.59
  6. Step 6: Final answer
    x = 367.67

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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.