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Finding the Fourth Proportional to 649.22, 974.22 and 238.35

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Solution

The fourth proportional to 649.22, 974.22 and 238.35 is: 357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 974.22 = 238.35 : x
  2. Step 2: Convert to fraction form
    649.22/974.22 = 238.35/x
  3. Step 3: Cross multiply
    649.22x = 974.22 × 238.35
  4. Step 4: Simplify right side
    649.22x = 232,206.03
  5. Step 5: Solve for x
    x = 232,206.03/649.22
  6. Step 6: Final answer
    x = 357.67

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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.