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Finding the Fourth Proportional to 540.46, 745.74 and 304.37

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Solution

The fourth proportional to 540.46, 745.74 and 304.37 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.46 : 745.74 = 304.37 : x
  2. Step 2: Convert to fraction form
    540.46/745.74 = 304.37/x
  3. Step 3: Cross multiply
    540.46x = 745.74 × 304.37
  4. Step 4: Simplify right side
    540.46x = 226,980.88
  5. Step 5: Solve for x
    x = 226,980.88/540.46
  6. Step 6: Final answer
    x = 419.98

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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.