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Finding the Fourth Proportional to 393.57, 543.28 and 262.53

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Solution

The fourth proportional to 393.57, 543.28 and 262.53 is: 362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.57 : 543.28 = 262.53 : x
  2. Step 2: Convert to fraction form
    393.57/543.28 = 262.53/x
  3. Step 3: Cross multiply
    393.57x = 543.28 × 262.53
  4. Step 4: Simplify right side
    393.57x = 142,629.31
  5. Step 5: Solve for x
    x = 142,629.31/393.57
  6. Step 6: Final answer
    x = 362.40

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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.