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Finding the Fourth Proportional to 729.34, 1,006.49 and 397.76

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Solution

The fourth proportional to 729.34, 1,006.49 and 397.76 is: 548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.34 : 1,006.49 = 397.76 : x
  2. Step 2: Convert to fraction form
    729.34/1,006.49 = 397.76/x
  3. Step 3: Cross multiply
    729.34x = 1,006.49 × 397.76
  4. Step 4: Simplify right side
    729.34x = 400,341.46
  5. Step 5: Solve for x
    x = 400,341.46/729.34
  6. Step 6: Final answer
    x = 548.91

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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.