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Finding the Fourth Proportional to 393.10, 542.36 and 235.78

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Solution

The fourth proportional to 393.10, 542.36 and 235.78 is: 325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.10 : 542.36 = 235.78 : x
  2. Step 2: Convert to fraction form
    393.10/542.36 = 235.78/x
  3. Step 3: Cross multiply
    393.10x = 542.36 × 235.78
  4. Step 4: Simplify right side
    393.10x = 127,877.64
  5. Step 5: Solve for x
    x = 127,877.64/393.10
  6. Step 6: Final answer
    x = 325.31

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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.