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Finding the Fourth Proportional to 540.33, 745.10 and 353.83

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Solution

The fourth proportional to 540.33, 745.10 and 353.83 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 745.10 = 353.83 : x
  2. Step 2: Convert to fraction form
    540.33/745.10 = 353.83/x
  3. Step 3: Cross multiply
    540.33x = 745.10 × 353.83
  4. Step 4: Simplify right side
    540.33x = 263,635.89
  5. Step 5: Solve for x
    x = 263,635.89/540.33
  6. Step 6: Final answer
    x = 487.92

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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.