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Finding the Fourth Proportional to 392.88, 589.64 and 210.41

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Solution

The fourth proportional to 392.88, 589.64 and 210.41 is: 315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.88 : 589.64 = 210.41 : x
  2. Step 2: Convert to fraction form
    392.88/589.64 = 210.41/x
  3. Step 3: Cross multiply
    392.88x = 589.64 × 210.41
  4. Step 4: Simplify right side
    392.88x = 124,062.15
  5. Step 5: Solve for x
    x = 124,062.15/392.88
  6. Step 6: Final answer
    x = 315.78

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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.