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Finding the Fourth Proportional to 548.51, 821.36 and 362.84

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Solution

The fourth proportional to 548.51, 821.36 and 362.84 is: 543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.51 : 821.36 = 362.84 : x
  2. Step 2: Convert to fraction form
    548.51/821.36 = 362.84/x
  3. Step 3: Cross multiply
    548.51x = 821.36 × 362.84
  4. Step 4: Simplify right side
    548.51x = 298,023.86
  5. Step 5: Solve for x
    x = 298,023.86/548.51
  6. Step 6: Final answer
    x = 543.33

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