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Finding the Fourth Proportional to 589.37, 879.46 and 585.97

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Solution

The fourth proportional to 589.37, 879.46 and 585.97 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.37 : 879.46 = 585.97 : x
  2. Step 2: Convert to fraction form
    589.37/879.46 = 585.97/x
  3. Step 3: Cross multiply
    589.37x = 879.46 × 585.97
  4. Step 4: Simplify right side
    589.37x = 515,333.51
  5. Step 5: Solve for x
    x = 515,333.51/589.37
  6. Step 6: Final answer
    x = 874.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.