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Finding the Fourth Proportional to 568.99, 784.94 and 411.37

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Solution

The fourth proportional to 568.99, 784.94 and 411.37 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.99 : 784.94 = 411.37 : x
  2. Step 2: Convert to fraction form
    568.99/784.94 = 411.37/x
  3. Step 3: Cross multiply
    568.99x = 784.94 × 411.37
  4. Step 4: Simplify right side
    568.99x = 322,896.22
  5. Step 5: Solve for x
    x = 322,896.22/568.99
  6. Step 6: Final answer
    x = 567.49

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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.