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Finding the Fourth Proportional to 392.45, 541.29 and 245.16

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Solution

The fourth proportional to 392.45, 541.29 and 245.16 is: 338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 541.29 = 245.16 : x
  2. Step 2: Convert to fraction form
    392.45/541.29 = 245.16/x
  3. Step 3: Cross multiply
    392.45x = 541.29 × 245.16
  4. Step 4: Simplify right side
    392.45x = 132,705.61
  5. Step 5: Solve for x
    x = 132,705.61/392.45
  6. Step 6: Final answer
    x = 338.15

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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.