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Finding the Fourth Proportional to 573.40, 859.56 and 208.09

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Solution

The fourth proportional to 573.40, 859.56 and 208.09 is: 311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.40 : 859.56 = 208.09 : x
  2. Step 2: Convert to fraction form
    573.40/859.56 = 208.09/x
  3. Step 3: Cross multiply
    573.40x = 859.56 × 208.09
  4. Step 4: Simplify right side
    573.40x = 178,865.84
  5. Step 5: Solve for x
    x = 178,865.84/573.40
  6. Step 6: Final answer
    x = 311.94

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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.