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Finding the Fourth Proportional to 365.38, 546.87 and 278.25

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Solution

The fourth proportional to 365.38, 546.87 and 278.25 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.38 : 546.87 = 278.25 : x
  2. Step 2: Convert to fraction form
    365.38/546.87 = 278.25/x
  3. Step 3: Cross multiply
    365.38x = 546.87 × 278.25
  4. Step 4: Simplify right side
    365.38x = 152,163.84
  5. Step 5: Solve for x
    x = 152,163.84/365.38
  6. Step 6: Final answer
    x = 416.45

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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.