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Finding the Fourth Proportional to 412.54, 568.88 and 272.48

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Solution

The fourth proportional to 412.54, 568.88 and 272.48 is: 375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 568.88 = 272.48 : x
  2. Step 2: Convert to fraction form
    412.54/568.88 = 272.48/x
  3. Step 3: Cross multiply
    412.54x = 568.88 × 272.48
  4. Step 4: Simplify right side
    412.54x = 155,004.22
  5. Step 5: Solve for x
    x = 155,004.22/412.54
  6. Step 6: Final answer
    x = 375.73

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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.