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Finding the Fourth Proportional to 573.11, 859.83 and 188.63

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Solution

The fourth proportional to 573.11, 859.83 and 188.63 is: 282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.11 : 859.83 = 188.63 : x
  2. Step 2: Convert to fraction form
    573.11/859.83 = 188.63/x
  3. Step 3: Cross multiply
    573.11x = 859.83 × 188.63
  4. Step 4: Simplify right side
    573.11x = 162,185.43
  5. Step 5: Solve for x
    x = 162,185.43/573.11
  6. Step 6: Final answer
    x = 282.99

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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.