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Finding the Fourth Proportional to 664.15, 916.71 and 443.02

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Solution

The fourth proportional to 664.15, 916.71 and 443.02 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.15 : 916.71 = 443.02 : x
  2. Step 2: Convert to fraction form
    664.15/916.71 = 443.02/x
  3. Step 3: Cross multiply
    664.15x = 916.71 × 443.02
  4. Step 4: Simplify right side
    664.15x = 406,120.86
  5. Step 5: Solve for x
    x = 406,120.86/664.15
  6. Step 6: Final answer
    x = 611.49

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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.