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Finding the Fourth Proportional to 664.40, 998.40 and 585.20

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Solution

The fourth proportional to 664.40, 998.40 and 585.20 is: 879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 998.40 = 585.20 : x
  2. Step 2: Convert to fraction form
    664.40/998.40 = 585.20/x
  3. Step 3: Cross multiply
    664.40x = 998.40 × 585.20
  4. Step 4: Simplify right side
    664.40x = 584,263.68
  5. Step 5: Solve for x
    x = 584,263.68/664.40
  6. Step 6: Final answer
    x = 879.39

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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.