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Finding the Fourth Proportional to 364.26, 546.56 and 272.54

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Solution

The fourth proportional to 364.26, 546.56 and 272.54 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.26 : 546.56 = 272.54 : x
  2. Step 2: Convert to fraction form
    364.26/546.56 = 272.54/x
  3. Step 3: Cross multiply
    364.26x = 546.56 × 272.54
  4. Step 4: Simplify right side
    364.26x = 148,959.46
  5. Step 5: Solve for x
    x = 148,959.46/364.26
  6. Step 6: Final answer
    x = 408.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.