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Finding the Fourth Proportional to 392.37, 540.93 and 325.74

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Solution

The fourth proportional to 392.37, 540.93 and 325.74 is: 449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.37 : 540.93 = 325.74 : x
  2. Step 2: Convert to fraction form
    392.37/540.93 = 325.74/x
  3. Step 3: Cross multiply
    392.37x = 540.93 × 325.74
  4. Step 4: Simplify right side
    392.37x = 176,202.54
  5. Step 5: Solve for x
    x = 176,202.54/392.37
  6. Step 6: Final answer
    x = 449.07

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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.