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Finding the Fourth Proportional to 539.91, 745.52 and 384.75

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Solution

The fourth proportional to 539.91, 745.52 and 384.75 is: 531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.91 : 745.52 = 384.75 : x
  2. Step 2: Convert to fraction form
    539.91/745.52 = 384.75/x
  3. Step 3: Cross multiply
    539.91x = 745.52 × 384.75
  4. Step 4: Simplify right side
    539.91x = 286,836.90
  5. Step 5: Solve for x
    x = 286,836.90/539.91
  6. Step 6: Final answer
    x = 531.27

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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.