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Finding the Fourth Proportional to 540.28, 745.48 and 353.56

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Solution

The fourth proportional to 540.28, 745.48 and 353.56 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.28 : 745.48 = 353.56 : x
  2. Step 2: Convert to fraction form
    540.28/745.48 = 353.56/x
  3. Step 3: Cross multiply
    540.28x = 745.48 × 353.56
  4. Step 4: Simplify right side
    540.28x = 263,571.91
  5. Step 5: Solve for x
    x = 263,571.91/540.28
  6. Step 6: Final answer
    x = 487.84

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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.