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Finding the Fourth Proportional to 592.86, 889.23 and 202.80

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Solution

The fourth proportional to 592.86, 889.23 and 202.80 is: 304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.86 : 889.23 = 202.80 : x
  2. Step 2: Convert to fraction form
    592.86/889.23 = 202.80/x
  3. Step 3: Cross multiply
    592.86x = 889.23 × 202.80
  4. Step 4: Simplify right side
    592.86x = 180,335.84
  5. Step 5: Solve for x
    x = 180,335.84/592.86
  6. Step 6: Final answer
    x = 304.18

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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.