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Finding the Fourth Proportional to 592.96, 889.49 and 202.83

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Solution

The fourth proportional to 592.96, 889.49 and 202.83 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 889.49 = 202.83 : x
  2. Step 2: Convert to fraction form
    592.96/889.49 = 202.83/x
  3. Step 3: Cross multiply
    592.96x = 889.49 × 202.83
  4. Step 4: Simplify right side
    592.96x = 180,415.22
  5. Step 5: Solve for x
    x = 180,415.22/592.96
  6. Step 6: Final answer
    x = 304.26

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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.