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Finding the Fourth Proportional to 592.93, 889.34 and 182.07

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Solution

The fourth proportional to 592.93, 889.34 and 182.07 is: 273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.93 : 889.34 = 182.07 : x
  2. Step 2: Convert to fraction form
    592.93/889.34 = 182.07/x
  3. Step 3: Cross multiply
    592.93x = 889.34 × 182.07
  4. Step 4: Simplify right side
    592.93x = 161,922.13
  5. Step 5: Solve for x
    x = 161,922.13/592.93
  6. Step 6: Final answer
    x = 273.09

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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.