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Finding the Fourth Proportional to 592.49, 888.46 and 284.48

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Solution

The fourth proportional to 592.49, 888.46 and 284.48 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 888.46 = 284.48 : x
  2. Step 2: Convert to fraction form
    592.49/888.46 = 284.48/x
  3. Step 3: Cross multiply
    592.49x = 888.46 × 284.48
  4. Step 4: Simplify right side
    592.49x = 252,747.68
  5. Step 5: Solve for x
    x = 252,747.68/592.49
  6. Step 6: Final answer
    x = 426.59

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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.