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Finding the Fourth Proportional to 392.63, 541.79 and 235.26

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Solution

The fourth proportional to 392.63, 541.79 and 235.26 is: 324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 541.79 = 235.26 : x
  2. Step 2: Convert to fraction form
    392.63/541.79 = 235.26/x
  3. Step 3: Cross multiply
    392.63x = 541.79 × 235.26
  4. Step 4: Simplify right side
    392.63x = 127,462.10
  5. Step 5: Solve for x
    x = 127,462.10/392.63
  6. Step 6: Final answer
    x = 324.64

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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.