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Finding the Fourth Proportional to 664.11, 916.73 and 442.98

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Solution

The fourth proportional to 664.11, 916.73 and 442.98 is: 611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.11 : 916.73 = 442.98 : x
  2. Step 2: Convert to fraction form
    664.11/916.73 = 442.98/x
  3. Step 3: Cross multiply
    664.11x = 916.73 × 442.98
  4. Step 4: Simplify right side
    664.11x = 406,093.06
  5. Step 5: Solve for x
    x = 406,093.06/664.11
  6. Step 6: Final answer
    x = 611.48

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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.