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Finding the Fourth Proportional to 445.85, 667.48 and 260.19

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Solution

The fourth proportional to 445.85, 667.48 and 260.19 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.85 : 667.48 = 260.19 : x
  2. Step 2: Convert to fraction form
    445.85/667.48 = 260.19/x
  3. Step 3: Cross multiply
    445.85x = 667.48 × 260.19
  4. Step 4: Simplify right side
    445.85x = 173,671.62
  5. Step 5: Solve for x
    x = 173,671.62/445.85
  6. Step 6: Final answer
    x = 389.53

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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.