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Finding the Fourth Proportional to 393.36, 542.58 and 262.36

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Solution

The fourth proportional to 393.36, 542.58 and 262.36 is: 361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.36 : 542.58 = 262.36 : x
  2. Step 2: Convert to fraction form
    393.36/542.58 = 262.36/x
  3. Step 3: Cross multiply
    393.36x = 542.58 × 262.36
  4. Step 4: Simplify right side
    393.36x = 142,351.29
  5. Step 5: Solve for x
    x = 142,351.29/393.36
  6. Step 6: Final answer
    x = 361.89

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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.