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Finding the Fourth Proportional to 394.20, 589.98 and 284.20

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Solution

The fourth proportional to 394.20, 589.98 and 284.20 is: 425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 589.98 = 284.20 : x
  2. Step 2: Convert to fraction form
    394.20/589.98 = 284.20/x
  3. Step 3: Cross multiply
    394.20x = 589.98 × 284.20
  4. Step 4: Simplify right side
    394.20x = 167,672.32
  5. Step 5: Solve for x
    x = 167,672.32/394.20
  6. Step 6: Final answer
    x = 425.35

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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.