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Finding the Fourth Proportional to 557.93, 769.97 and 321.90

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Solution

The fourth proportional to 557.93, 769.97 and 321.90 is: 444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.93 : 769.97 = 321.90 : x
  2. Step 2: Convert to fraction form
    557.93/769.97 = 321.90/x
  3. Step 3: Cross multiply
    557.93x = 769.97 × 321.90
  4. Step 4: Simplify right side
    557.93x = 247,851.73
  5. Step 5: Solve for x
    x = 247,851.73/557.93
  6. Step 6: Final answer
    x = 444.24

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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.