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Finding the Fourth Proportional to 588.36, 878.04 and 574.49

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Solution

The fourth proportional to 588.36, 878.04 and 574.49 is: 857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.36 : 878.04 = 574.49 : x
  2. Step 2: Convert to fraction form
    588.36/878.04 = 574.49/x
  3. Step 3: Cross multiply
    588.36x = 878.04 × 574.49
  4. Step 4: Simplify right side
    588.36x = 504,427.39
  5. Step 5: Solve for x
    x = 504,427.39/588.36
  6. Step 6: Final answer
    x = 857.34

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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.