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Finding the Fourth Proportional to 362.66, 548.14 and 362.66

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Solution

The fourth proportional to 362.66, 548.14 and 362.66 is: 548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.66 : 548.14 = 362.66 : x
  2. Step 2: Convert to fraction form
    362.66/548.14 = 362.66/x
  3. Step 3: Cross multiply
    362.66x = 548.14 × 362.66
  4. Step 4: Simplify right side
    362.66x = 198,786.64
  5. Step 5: Solve for x
    x = 198,786.64/362.66
  6. Step 6: Final answer
    x = 548.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.