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Finding the Fourth Proportional to 355.79, 490.98 and 224.67

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Solution

The fourth proportional to 355.79, 490.98 and 224.67 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.79 : 490.98 = 224.67 : x
  2. Step 2: Convert to fraction form
    355.79/490.98 = 224.67/x
  3. Step 3: Cross multiply
    355.79x = 490.98 × 224.67
  4. Step 4: Simplify right side
    355.79x = 110,308.48
  5. Step 5: Solve for x
    x = 110,308.48/355.79
  6. Step 6: Final answer
    x = 310.04

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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.