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Finding the Fourth Proportional to 540.22, 745.49 and 319.16

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Solution

The fourth proportional to 540.22, 745.49 and 319.16 is: 440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 745.49 = 319.16 : x
  2. Step 2: Convert to fraction form
    540.22/745.49 = 319.16/x
  3. Step 3: Cross multiply
    540.22x = 745.49 × 319.16
  4. Step 4: Simplify right side
    540.22x = 237,930.59
  5. Step 5: Solve for x
    x = 237,930.59/540.22
  6. Step 6: Final answer
    x = 440.43

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Why These Related Problems?

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