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Finding the Fourth Proportional to 559.01, 771.73 and 382.23

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Solution

The fourth proportional to 559.01, 771.73 and 382.23 is: 527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.01 : 771.73 = 382.23 : x
  2. Step 2: Convert to fraction form
    559.01/771.73 = 382.23/x
  3. Step 3: Cross multiply
    559.01x = 771.73 × 382.23
  4. Step 4: Simplify right side
    559.01x = 294,977.87
  5. Step 5: Solve for x
    x = 294,977.87/559.01
  6. Step 6: Final answer
    x = 527.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.