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Finding the Fourth Proportional to 559.84, 839.38 and 213.16

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Solution

The fourth proportional to 559.84, 839.38 and 213.16 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.84 : 839.38 = 213.16 : x
  2. Step 2: Convert to fraction form
    559.84/839.38 = 213.16/x
  3. Step 3: Cross multiply
    559.84x = 839.38 × 213.16
  4. Step 4: Simplify right side
    559.84x = 178,922.24
  5. Step 5: Solve for x
    x = 178,922.24/559.84
  6. Step 6: Final answer
    x = 319.60

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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.