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Finding the Fourth Proportional to 539.88, 745.12 and 408.66

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Solution

The fourth proportional to 539.88, 745.12 and 408.66 is: 564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.88 : 745.12 = 408.66 : x
  2. Step 2: Convert to fraction form
    539.88/745.12 = 408.66/x
  3. Step 3: Cross multiply
    539.88x = 745.12 × 408.66
  4. Step 4: Simplify right side
    539.88x = 304,500.74
  5. Step 5: Solve for x
    x = 304,500.74/539.88
  6. Step 6: Final answer
    x = 564.02

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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.