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Finding the Fourth Proportional to 559.22, 838.26 and 284.99

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Solution

The fourth proportional to 559.22, 838.26 and 284.99 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.22 : 838.26 = 284.99 : x
  2. Step 2: Convert to fraction form
    559.22/838.26 = 284.99/x
  3. Step 3: Cross multiply
    559.22x = 838.26 × 284.99
  4. Step 4: Simplify right side
    559.22x = 238,891.53
  5. Step 5: Solve for x
    x = 238,891.53/559.22
  6. Step 6: Final answer
    x = 427.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.