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Finding the Fourth Proportional to 539.82, 745.20 and 525.24

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Solution

The fourth proportional to 539.82, 745.20 and 525.24 is: 725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.82 : 745.20 = 525.24 : x
  2. Step 2: Convert to fraction form
    539.82/745.20 = 525.24/x
  3. Step 3: Cross multiply
    539.82x = 745.20 × 525.24
  4. Step 4: Simplify right side
    539.82x = 391,408.85
  5. Step 5: Solve for x
    x = 391,408.85/539.82
  6. Step 6: Final answer
    x = 725.07

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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.