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Finding the Fourth Proportional to 580, 869.73 and 189.94

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Solution

The fourth proportional to 580, 869.73 and 189.94 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580 : 869.73 = 189.94 : x
  2. Step 2: Convert to fraction form
    580/869.73 = 189.94/x
  3. Step 3: Cross multiply
    580x = 869.73 × 189.94
  4. Step 4: Simplify right side
    580x = 165,196.52
  5. Step 5: Solve for x
    x = 165,196.52/580
  6. Step 6: Final answer
    x = 284.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.