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Finding the Fourth Proportional to 729, 1,006.02 and 418.56

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Solution

The fourth proportional to 729, 1,006.02 and 418.56 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,006.02 = 418.56 : x
  2. Step 2: Convert to fraction form
    729/1,006.02 = 418.56/x
  3. Step 3: Cross multiply
    729x = 1,006.02 × 418.56
  4. Step 4: Simplify right side
    729x = 421,079.73
  5. Step 5: Solve for x
    x = 421,079.73/729
  6. Step 6: Final answer
    x = 577.61

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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.