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Finding the Fourth Proportional to 368.67, 548.82 and 364.56

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Solution

The fourth proportional to 368.67, 548.82 and 364.56 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.67 : 548.82 = 364.56 : x
  2. Step 2: Convert to fraction form
    368.67/548.82 = 364.56/x
  3. Step 3: Cross multiply
    368.67x = 548.82 × 364.56
  4. Step 4: Simplify right side
    368.67x = 200,077.82
  5. Step 5: Solve for x
    x = 200,077.82/368.67
  6. Step 6: Final answer
    x = 542.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.