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Finding the Fourth Proportional to 394.13, 589.14 and 277.80

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Solution

The fourth proportional to 394.13, 589.14 and 277.80 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 589.14 = 277.80 : x
  2. Step 2: Convert to fraction form
    394.13/589.14 = 277.80/x
  3. Step 3: Cross multiply
    394.13x = 589.14 × 277.80
  4. Step 4: Simplify right side
    394.13x = 163,660.88
  5. Step 5: Solve for x
    x = 163,660.88/394.13
  6. Step 6: Final answer
    x = 415.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.