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Finding the Fourth Proportional to 592.89, 889.39 and 202.88

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Solution

The fourth proportional to 592.89, 889.39 and 202.88 is: 304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.89 : 889.39 = 202.88 : x
  2. Step 2: Convert to fraction form
    592.89/889.39 = 202.88/x
  3. Step 3: Cross multiply
    592.89x = 889.39 × 202.88
  4. Step 4: Simplify right side
    592.89x = 180,434.49
  5. Step 5: Solve for x
    x = 180,434.49/592.89
  6. Step 6: Final answer
    x = 304.33

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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.