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Finding the Fourth Proportional to 594.09, 819.18 and 397.67

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Solution

The fourth proportional to 594.09, 819.18 and 397.67 is: 548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.09 : 819.18 = 397.67 : x
  2. Step 2: Convert to fraction form
    594.09/819.18 = 397.67/x
  3. Step 3: Cross multiply
    594.09x = 819.18 × 397.67
  4. Step 4: Simplify right side
    594.09x = 325,759.21
  5. Step 5: Solve for x
    x = 325,759.21/594.09
  6. Step 6: Final answer
    x = 548.33

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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.