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Finding the Fourth Proportional to 540.33, 745.62 and 319.41

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Solution

The fourth proportional to 540.33, 745.62 and 319.41 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 745.62 = 319.41 : x
  2. Step 2: Convert to fraction form
    540.33/745.62 = 319.41/x
  3. Step 3: Cross multiply
    540.33x = 745.62 × 319.41
  4. Step 4: Simplify right side
    540.33x = 238,158.48
  5. Step 5: Solve for x
    x = 238,158.48/540.33
  6. Step 6: Final answer
    x = 440.76

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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.