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Finding the Fourth Proportional to 320.91, 443.60 and 268.16

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Solution

The fourth proportional to 320.91, 443.60 and 268.16 is: 370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 443.60 = 268.16 : x
  2. Step 2: Convert to fraction form
    320.91/443.60 = 268.16/x
  3. Step 3: Cross multiply
    320.91x = 443.60 × 268.16
  4. Step 4: Simplify right side
    320.91x = 118,952.22
  5. Step 5: Solve for x
    x = 118,952.22/320.91
  6. Step 6: Final answer
    x = 370.67

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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.