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Finding the Fourth Proportional to 500.64, 745.14 and 496.68

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Solution

The fourth proportional to 500.64, 745.14 and 496.68 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 745.14 = 496.68 : x
  2. Step 2: Convert to fraction form
    500.64/745.14 = 496.68/x
  3. Step 3: Cross multiply
    500.64x = 745.14 × 496.68
  4. Step 4: Simplify right side
    500.64x = 370,096.14
  5. Step 5: Solve for x
    x = 370,096.14/500.64
  6. Step 6: Final answer
    x = 739.25

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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.