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Finding the Fourth Proportional to 539.77, 745.11 and 365.35

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Solution

The fourth proportional to 539.77, 745.11 and 365.35 is: 504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.77 : 745.11 = 365.35 : x
  2. Step 2: Convert to fraction form
    539.77/745.11 = 365.35/x
  3. Step 3: Cross multiply
    539.77x = 745.11 × 365.35
  4. Step 4: Simplify right side
    539.77x = 272,225.94
  5. Step 5: Solve for x
    x = 272,225.94/539.77
  6. Step 6: Final answer
    x = 504.34

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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.