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Finding the Fourth Proportional to 568.45, 784.97 and 411.94

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Solution

The fourth proportional to 568.45, 784.97 and 411.94 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.45 : 784.97 = 411.94 : x
  2. Step 2: Convert to fraction form
    568.45/784.97 = 411.94/x
  3. Step 3: Cross multiply
    568.45x = 784.97 × 411.94
  4. Step 4: Simplify right side
    568.45x = 323,360.54
  5. Step 5: Solve for x
    x = 323,360.54/568.45
  6. Step 6: Final answer
    x = 568.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.