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Finding the Fourth Proportional to 393.42, 543.06 and 262.56

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Solution

The fourth proportional to 393.42, 543.06 and 262.56 is: 362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.42 : 543.06 = 262.56 : x
  2. Step 2: Convert to fraction form
    393.42/543.06 = 262.56/x
  3. Step 3: Cross multiply
    393.42x = 543.06 × 262.56
  4. Step 4: Simplify right side
    393.42x = 142,585.83
  5. Step 5: Solve for x
    x = 142,585.83/393.42
  6. Step 6: Final answer
    x = 362.43

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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.