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Finding the Fourth Proportional to 540.52, 745.18 and 382.68

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Solution

The fourth proportional to 540.52, 745.18 and 382.68 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.52 : 745.18 = 382.68 : x
  2. Step 2: Convert to fraction form
    540.52/745.18 = 382.68/x
  3. Step 3: Cross multiply
    540.52x = 745.18 × 382.68
  4. Step 4: Simplify right side
    540.52x = 285,165.48
  5. Step 5: Solve for x
    x = 285,165.48/540.52
  6. Step 6: Final answer
    x = 527.58

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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.