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Finding the Fourth Proportional to 360.56, 497.60 and 220.76

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Solution

The fourth proportional to 360.56, 497.60 and 220.76 is: 304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 497.60 = 220.76 : x
  2. Step 2: Convert to fraction form
    360.56/497.60 = 220.76/x
  3. Step 3: Cross multiply
    360.56x = 497.60 × 220.76
  4. Step 4: Simplify right side
    360.56x = 109,850.18
  5. Step 5: Solve for x
    x = 109,850.18/360.56
  6. Step 6: Final answer
    x = 304.67

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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.