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Finding the Fourth Proportional to 539.92, 745.77 and 415.99

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Solution

The fourth proportional to 539.92, 745.77 and 415.99 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.92 : 745.77 = 415.99 : x
  2. Step 2: Convert to fraction form
    539.92/745.77 = 415.99/x
  3. Step 3: Cross multiply
    539.92x = 745.77 × 415.99
  4. Step 4: Simplify right side
    539.92x = 310,232.86
  5. Step 5: Solve for x
    x = 310,232.86/539.92
  6. Step 6: Final answer
    x = 574.59

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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.