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Finding the Fourth Proportional to 729.03, 1,006.06 and 397.46

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Solution

The fourth proportional to 729.03, 1,006.06 and 397.46 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.03 : 1,006.06 = 397.46 : x
  2. Step 2: Convert to fraction form
    729.03/1,006.06 = 397.46/x
  3. Step 3: Cross multiply
    729.03x = 1,006.06 × 397.46
  4. Step 4: Simplify right side
    729.03x = 399,866.33
  5. Step 5: Solve for x
    x = 399,866.33/729.03
  6. Step 6: Final answer
    x = 548.49

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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.