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Finding the Fourth Proportional to 539.87, 745.20 and 430.11

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Solution

The fourth proportional to 539.87, 745.20 and 430.11 is: 593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.87 : 745.20 = 430.11 : x
  2. Step 2: Convert to fraction form
    539.87/745.20 = 430.11/x
  3. Step 3: Cross multiply
    539.87x = 745.20 × 430.11
  4. Step 4: Simplify right side
    539.87x = 320,517.97
  5. Step 5: Solve for x
    x = 320,517.97/539.87
  6. Step 6: Final answer
    x = 593.70

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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.