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Finding the Fourth Proportional to 540.27, 745.43 and 319.23

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Solution

The fourth proportional to 540.27, 745.43 and 319.23 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.27 : 745.43 = 319.23 : x
  2. Step 2: Convert to fraction form
    540.27/745.43 = 319.23/x
  3. Step 3: Cross multiply
    540.27x = 745.43 × 319.23
  4. Step 4: Simplify right side
    540.27x = 237,962.02
  5. Step 5: Solve for x
    x = 237,962.02/540.27
  6. Step 6: Final answer
    x = 440.45

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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.