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Finding the Fourth Proportional to 392.36, 540.72 and 281.65

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Solution

The fourth proportional to 392.36, 540.72 and 281.65 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 540.72 = 281.65 : x
  2. Step 2: Convert to fraction form
    392.36/540.72 = 281.65/x
  3. Step 3: Cross multiply
    392.36x = 540.72 × 281.65
  4. Step 4: Simplify right side
    392.36x = 152,293.79
  5. Step 5: Solve for x
    x = 152,293.79/392.36
  6. Step 6: Final answer
    x = 388.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.