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Finding the Fourth Proportional to 559.14, 834.94 and 456.62

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Solution

The fourth proportional to 559.14, 834.94 and 456.62 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.14 : 834.94 = 456.62 : x
  2. Step 2: Convert to fraction form
    559.14/834.94 = 456.62/x
  3. Step 3: Cross multiply
    559.14x = 834.94 × 456.62
  4. Step 4: Simplify right side
    559.14x = 381,245.93
  5. Step 5: Solve for x
    x = 381,245.93/559.14
  6. Step 6: Final answer
    x = 681.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.