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Finding the Fourth Proportional to 664.07, 916.73 and 415.52

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Solution

The fourth proportional to 664.07, 916.73 and 415.52 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.07 : 916.73 = 415.52 : x
  2. Step 2: Convert to fraction form
    664.07/916.73 = 415.52/x
  3. Step 3: Cross multiply
    664.07x = 916.73 × 415.52
  4. Step 4: Simplify right side
    664.07x = 380,917.98
  5. Step 5: Solve for x
    x = 380,917.98/664.07
  6. Step 6: Final answer
    x = 573.62

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