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Finding the Fourth Proportional to 664.14, 916.08 and 443.01

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Solution

The fourth proportional to 664.14, 916.08 and 443.01 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 916.08 = 443.01 : x
  2. Step 2: Convert to fraction form
    664.14/916.08 = 443.01/x
  3. Step 3: Cross multiply
    664.14x = 916.08 × 443.01
  4. Step 4: Simplify right side
    664.14x = 405,832.60
  5. Step 5: Solve for x
    x = 405,832.60/664.14
  6. Step 6: Final answer
    x = 611.06

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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.