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Finding the Fourth Proportional to 500.82, 690.66 and 361.86

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Solution

The fourth proportional to 500.82, 690.66 and 361.86 is: 499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.82 : 690.66 = 361.86 : x
  2. Step 2: Convert to fraction form
    500.82/690.66 = 361.86/x
  3. Step 3: Cross multiply
    500.82x = 690.66 × 361.86
  4. Step 4: Simplify right side
    500.82x = 249,922.23
  5. Step 5: Solve for x
    x = 249,922.23/500.82
  6. Step 6: Final answer
    x = 499.03

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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.