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Finding the Fourth Proportional to 539.89, 745.37 and 415.30

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Solution

The fourth proportional to 539.89, 745.37 and 415.30 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.89 : 745.37 = 415.30 : x
  2. Step 2: Convert to fraction form
    539.89/745.37 = 415.30/x
  3. Step 3: Cross multiply
    539.89x = 745.37 × 415.30
  4. Step 4: Simplify right side
    539.89x = 309,550.08
  5. Step 5: Solve for x
    x = 309,550.08/539.89
  6. Step 6: Final answer
    x = 573.36

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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.