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Finding the Fourth Proportional to 568.50, 784.65 and 361.62

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Solution

The fourth proportional to 568.50, 784.65 and 361.62 is: 499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 784.65 = 361.62 : x
  2. Step 2: Convert to fraction form
    568.50/784.65 = 361.62/x
  3. Step 3: Cross multiply
    568.50x = 784.65 × 361.62
  4. Step 4: Simplify right side
    568.50x = 283,745.13
  5. Step 5: Solve for x
    x = 283,745.13/568.50
  6. Step 6: Final answer
    x = 499.11

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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.