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Finding the Fourth Proportional to 573.14, 859.17 and 207.83

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Solution

The fourth proportional to 573.14, 859.17 and 207.83 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.14 : 859.17 = 207.83 : x
  2. Step 2: Convert to fraction form
    573.14/859.17 = 207.83/x
  3. Step 3: Cross multiply
    573.14x = 859.17 × 207.83
  4. Step 4: Simplify right side
    573.14x = 178,557.01
  5. Step 5: Solve for x
    x = 178,557.01/573.14
  6. Step 6: Final answer
    x = 311.54

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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.