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Finding the Fourth Proportional to 500.68, 745.37 and 493.84

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Solution

The fourth proportional to 500.68, 745.37 and 493.84 is: 735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 745.37 = 493.84 : x
  2. Step 2: Convert to fraction form
    500.68/745.37 = 493.84/x
  3. Step 3: Cross multiply
    500.68x = 745.37 × 493.84
  4. Step 4: Simplify right side
    500.68x = 368,093.52
  5. Step 5: Solve for x
    x = 368,093.52/500.68
  6. Step 6: Final answer
    x = 735.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.