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Finding the Fourth Proportional to 540.40, 745.68 and 319.26

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Solution

The fourth proportional to 540.40, 745.68 and 319.26 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.40 : 745.68 = 319.26 : x
  2. Step 2: Convert to fraction form
    540.40/745.68 = 319.26/x
  3. Step 3: Cross multiply
    540.40x = 745.68 × 319.26
  4. Step 4: Simplify right side
    540.40x = 238,065.80
  5. Step 5: Solve for x
    x = 238,065.80/540.40
  6. Step 6: Final answer
    x = 440.54

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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.