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Finding the Fourth Proportional to 592.26, 888.39 and 284.05

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Solution

The fourth proportional to 592.26, 888.39 and 284.05 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.26 : 888.39 = 284.05 : x
  2. Step 2: Convert to fraction form
    592.26/888.39 = 284.05/x
  3. Step 3: Cross multiply
    592.26x = 888.39 × 284.05
  4. Step 4: Simplify right side
    592.26x = 252,347.18
  5. Step 5: Solve for x
    x = 252,347.18/592.26
  6. Step 6: Final answer
    x = 426.08

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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.