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Finding the Fourth Proportional to 540.33, 745.67 and 319.29

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Solution

The fourth proportional to 540.33, 745.67 and 319.29 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 745.67 = 319.29 : x
  2. Step 2: Convert to fraction form
    540.33/745.67 = 319.29/x
  3. Step 3: Cross multiply
    540.33x = 745.67 × 319.29
  4. Step 4: Simplify right side
    540.33x = 238,084.97
  5. Step 5: Solve for x
    x = 238,084.97/540.33
  6. Step 6: Final answer
    x = 440.63

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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.