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Finding the Fourth Proportional to 540.41, 745.86 and 316.37

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Solution

The fourth proportional to 540.41, 745.86 and 316.37 is: 436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.41 : 745.86 = 316.37 : x
  2. Step 2: Convert to fraction form
    540.41/745.86 = 316.37/x
  3. Step 3: Cross multiply
    540.41x = 745.86 × 316.37
  4. Step 4: Simplify right side
    540.41x = 235,967.98
  5. Step 5: Solve for x
    x = 235,967.98/540.41
  6. Step 6: Final answer
    x = 436.64

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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.