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Finding the Fourth Proportional to 445.26, 668.16 and 263.01

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Solution

The fourth proportional to 445.26, 668.16 and 263.01 is: 394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.26 : 668.16 = 263.01 : x
  2. Step 2: Convert to fraction form
    445.26/668.16 = 263.01/x
  3. Step 3: Cross multiply
    445.26x = 668.16 × 263.01
  4. Step 4: Simplify right side
    445.26x = 175,732.76
  5. Step 5: Solve for x
    x = 175,732.76/445.26
  6. Step 6: Final answer
    x = 394.67

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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.