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Finding the Fourth Proportional to 573.33, 859.48 and 208.04

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Solution

The fourth proportional to 573.33, 859.48 and 208.04 is: 311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.33 : 859.48 = 208.04 : x
  2. Step 2: Convert to fraction form
    573.33/859.48 = 208.04/x
  3. Step 3: Cross multiply
    573.33x = 859.48 × 208.04
  4. Step 4: Simplify right side
    573.33x = 178,807.85
  5. Step 5: Solve for x
    x = 178,807.85/573.33
  6. Step 6: Final answer
    x = 311.87

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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.