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Finding the Fourth Proportional to 392.75, 589.58 and 210.50

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Solution

The fourth proportional to 392.75, 589.58 and 210.50 is: 315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 589.58 = 210.50 : x
  2. Step 2: Convert to fraction form
    392.75/589.58 = 210.50/x
  3. Step 3: Cross multiply
    392.75x = 589.58 × 210.50
  4. Step 4: Simplify right side
    392.75x = 124,105.59
  5. Step 5: Solve for x
    x = 124,105.59/392.75
  6. Step 6: Final answer
    x = 315.99

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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.