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Finding the Fourth Proportional to 392.75, 589.75 and 324.12

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Solution

The fourth proportional to 392.75, 589.75 and 324.12 is: 486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 589.75 = 324.12 : x
  2. Step 2: Convert to fraction form
    392.75/589.75 = 324.12/x
  3. Step 3: Cross multiply
    392.75x = 589.75 × 324.12
  4. Step 4: Simplify right side
    392.75x = 191,148.96
  5. Step 5: Solve for x
    x = 191,148.96/392.75
  6. Step 6: Final answer
    x = 486.70

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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.