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Finding the Fourth Proportional to 592.86, 889.12 and 284.41

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Solution

The fourth proportional to 592.86, 889.12 and 284.41 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.86 : 889.12 = 284.41 : x
  2. Step 2: Convert to fraction form
    592.86/889.12 = 284.41/x
  3. Step 3: Cross multiply
    592.86x = 889.12 × 284.41
  4. Step 4: Simplify right side
    592.86x = 252,874.62
  5. Step 5: Solve for x
    x = 252,874.62/592.86
  6. Step 6: Final answer
    x = 426.53

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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.