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Finding the Fourth Proportional to 542.43, 745.83 and 538.92

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Solution

The fourth proportional to 542.43, 745.83 and 538.92 is: 741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 745.83 = 538.92 : x
  2. Step 2: Convert to fraction form
    542.43/745.83 = 538.92/x
  3. Step 3: Cross multiply
    542.43x = 745.83 × 538.92
  4. Step 4: Simplify right side
    542.43x = 401,942.70
  5. Step 5: Solve for x
    x = 401,942.70/542.43
  6. Step 6: Final answer
    x = 741.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.