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Finding the Fourth Proportional to 540.19, 745.47 and 319.37

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Solution

The fourth proportional to 540.19, 745.47 and 319.37 is: 440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.19 : 745.47 = 319.37 : x
  2. Step 2: Convert to fraction form
    540.19/745.47 = 319.37/x
  3. Step 3: Cross multiply
    540.19x = 745.47 × 319.37
  4. Step 4: Simplify right side
    540.19x = 238,082.62
  5. Step 5: Solve for x
    x = 238,082.62/540.19
  6. Step 6: Final answer
    x = 440.74

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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.