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Finding the Fourth Proportional to 664.64, 994.40 and 404.60

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Solution

The fourth proportional to 664.64, 994.40 and 404.60 is: 605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 994.40 = 404.60 : x
  2. Step 2: Convert to fraction form
    664.64/994.40 = 404.60/x
  3. Step 3: Cross multiply
    664.64x = 994.40 × 404.60
  4. Step 4: Simplify right side
    664.64x = 402,329.90
  5. Step 5: Solve for x
    x = 402,329.90/664.64
  6. Step 6: Final answer
    x = 605.33

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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.