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Finding the Fourth Proportional to 392.67, 589.20 and 210.18

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Solution

The fourth proportional to 392.67, 589.20 and 210.18 is: 315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.67 : 589.20 = 210.18 : x
  2. Step 2: Convert to fraction form
    392.67/589.20 = 210.18/x
  3. Step 3: Cross multiply
    392.67x = 589.20 × 210.18
  4. Step 4: Simplify right side
    392.67x = 123,838.06
  5. Step 5: Solve for x
    x = 123,838.06/392.67
  6. Step 6: Final answer
    x = 315.37

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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.