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Finding the Fourth Proportional to 539.78, 745.56 and 477.80

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Solution

The fourth proportional to 539.78, 745.56 and 477.80 is: 659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.78 : 745.56 = 477.80 : x
  2. Step 2: Convert to fraction form
    539.78/745.56 = 477.80/x
  3. Step 3: Cross multiply
    539.78x = 745.56 × 477.80
  4. Step 4: Simplify right side
    539.78x = 356,228.57
  5. Step 5: Solve for x
    x = 356,228.57/539.78
  6. Step 6: Final answer
    x = 659.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.