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Finding the Fourth Proportional to 591.39, 884.34 and 504.51

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Solution

The fourth proportional to 591.39, 884.34 and 504.51 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.39 : 884.34 = 504.51 : x
  2. Step 2: Convert to fraction form
    591.39/884.34 = 504.51/x
  3. Step 3: Cross multiply
    591.39x = 884.34 × 504.51
  4. Step 4: Simplify right side
    591.39x = 446,158.37
  5. Step 5: Solve for x
    x = 446,158.37/591.39
  6. Step 6: Final answer
    x = 754.42

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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.