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Finding the Fourth Proportional to 664.62, 916.79 and 398.99

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Solution

The fourth proportional to 664.62, 916.79 and 398.99 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.62 : 916.79 = 398.99 : x
  2. Step 2: Convert to fraction form
    664.62/916.79 = 398.99/x
  3. Step 3: Cross multiply
    664.62x = 916.79 × 398.99
  4. Step 4: Simplify right side
    664.62x = 365,785.46
  5. Step 5: Solve for x
    x = 365,785.46/664.62
  6. Step 6: Final answer
    x = 550.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.