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Finding the Fourth Proportional to 664.73, 916.36 and 415.93

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Solution

The fourth proportional to 664.73, 916.36 and 415.93 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.73 : 916.36 = 415.93 : x
  2. Step 2: Convert to fraction form
    664.73/916.36 = 415.93/x
  3. Step 3: Cross multiply
    664.73x = 916.36 × 415.93
  4. Step 4: Simplify right side
    664.73x = 381,141.61
  5. Step 5: Solve for x
    x = 381,141.61/664.73
  6. Step 6: Final answer
    x = 573.38

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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.