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Finding the Fourth Proportional to 365.21, 545.77 and 272.87

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Solution

The fourth proportional to 365.21, 545.77 and 272.87 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 545.77 = 272.87 : x
  2. Step 2: Convert to fraction form
    365.21/545.77 = 272.87/x
  3. Step 3: Cross multiply
    365.21x = 545.77 × 272.87
  4. Step 4: Simplify right side
    365.21x = 148,923.92
  5. Step 5: Solve for x
    x = 148,923.92/365.21
  6. Step 6: Final answer
    x = 407.78

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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.