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Finding the Fourth Proportional to 664.98, 916.83 and 540.37

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Solution

The fourth proportional to 664.98, 916.83 and 540.37 is: 745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 916.83 = 540.37 : x
  2. Step 2: Convert to fraction form
    664.98/916.83 = 540.37/x
  3. Step 3: Cross multiply
    664.98x = 916.83 × 540.37
  4. Step 4: Simplify right side
    664.98x = 495,429.33
  5. Step 5: Solve for x
    x = 495,429.33/664.98
  6. Step 6: Final answer
    x = 745.02

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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.