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Finding the Fourth Proportional to 568.62, 784.83 and 361.50

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Solution

The fourth proportional to 568.62, 784.83 and 361.50 is: 498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 784.83 = 361.50 : x
  2. Step 2: Convert to fraction form
    568.62/784.83 = 361.50/x
  3. Step 3: Cross multiply
    568.62x = 784.83 × 361.50
  4. Step 4: Simplify right side
    568.62x = 283,716.05
  5. Step 5: Solve for x
    x = 283,716.05/568.62
  6. Step 6: Final answer
    x = 498.96

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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.