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Finding the Fourth Proportional to 540.14, 745.22 and 353.84

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Solution

The fourth proportional to 540.14, 745.22 and 353.84 is: 488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 745.22 = 353.84 : x
  2. Step 2: Convert to fraction form
    540.14/745.22 = 353.84/x
  3. Step 3: Cross multiply
    540.14x = 745.22 × 353.84
  4. Step 4: Simplify right side
    540.14x = 263,691.39
  5. Step 5: Solve for x
    x = 263,691.39/540.14
  6. Step 6: Final answer
    x = 488.19

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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.