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Finding the Fourth Proportional to 539.78, 745.58 and 416.94

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Solution

The fourth proportional to 539.78, 745.58 and 416.94 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 745.58 = 416.94 : x
  2. Step 2: Convert to fraction form
    539.78/745.58 = 416.94/x
  3. Step 3: Cross multiply
    539.78x = 745.58 × 416.94
  4. Step 4: Simplify right side
    539.78x = 310,860.04
  5. Step 5: Solve for x
    x = 310,860.04/539.78
  6. Step 6: Final answer
    x = 575.91

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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.