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Finding the Fourth Proportional to 445.47, 667.66 and 260.03

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Solution

The fourth proportional to 445.47, 667.66 and 260.03 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 667.66 = 260.03 : x
  2. Step 2: Convert to fraction form
    445.47/667.66 = 260.03/x
  3. Step 3: Cross multiply
    445.47x = 667.66 × 260.03
  4. Step 4: Simplify right side
    445.47x = 173,611.63
  5. Step 5: Solve for x
    x = 173,611.63/445.47
  6. Step 6: Final answer
    x = 389.73

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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.