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Finding the Fourth Proportional to 392.84, 589.04 and 270.98

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Solution

The fourth proportional to 392.84, 589.04 and 270.98 is: 406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 589.04 = 270.98 : x
  2. Step 2: Convert to fraction form
    392.84/589.04 = 270.98/x
  3. Step 3: Cross multiply
    392.84x = 589.04 × 270.98
  4. Step 4: Simplify right side
    392.84x = 159,618.06
  5. Step 5: Solve for x
    x = 159,618.06/392.84
  6. Step 6: Final answer
    x = 406.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.