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Finding the Fourth Proportional to 392.40, 589.06 and 209.88

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Solution

The fourth proportional to 392.40, 589.06 and 209.88 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 589.06 = 209.88 : x
  2. Step 2: Convert to fraction form
    392.40/589.06 = 209.88/x
  3. Step 3: Cross multiply
    392.40x = 589.06 × 209.88
  4. Step 4: Simplify right side
    392.40x = 123,631.91
  5. Step 5: Solve for x
    x = 123,631.91/392.40
  6. Step 6: Final answer
    x = 315.07

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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.