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Finding the Fourth Proportional to 539.81, 745.55 and 364.85

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Solution

The fourth proportional to 539.81, 745.55 and 364.85 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 745.55 = 364.85 : x
  2. Step 2: Convert to fraction form
    539.81/745.55 = 364.85/x
  3. Step 3: Cross multiply
    539.81x = 745.55 × 364.85
  4. Step 4: Simplify right side
    539.81x = 272,013.92
  5. Step 5: Solve for x
    x = 272,013.92/539.81
  6. Step 6: Final answer
    x = 503.91

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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.