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Finding the Fourth Proportional to 395.76, 546.24 and 271.47

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Solution

The fourth proportional to 395.76, 546.24 and 271.47 is: 374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.76 : 546.24 = 271.47 : x
  2. Step 2: Convert to fraction form
    395.76/546.24 = 271.47/x
  3. Step 3: Cross multiply
    395.76x = 546.24 × 271.47
  4. Step 4: Simplify right side
    395.76x = 148,287.77
  5. Step 5: Solve for x
    x = 148,287.77/395.76
  6. Step 6: Final answer
    x = 374.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.