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Finding the Fourth Proportional to 540.77, 745.83 and 363.65

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Solution

The fourth proportional to 540.77, 745.83 and 363.65 is: 501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 745.83 = 363.65 : x
  2. Step 2: Convert to fraction form
    540.77/745.83 = 363.65/x
  3. Step 3: Cross multiply
    540.77x = 745.83 × 363.65
  4. Step 4: Simplify right side
    540.77x = 271,217.35
  5. Step 5: Solve for x
    x = 271,217.35/540.77
  6. Step 6: Final answer
    x = 501.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.