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Finding the Fourth Proportional to 724.06, 998.94 and 429.22

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Solution

The fourth proportional to 724.06, 998.94 and 429.22 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.06 : 998.94 = 429.22 : x
  2. Step 2: Convert to fraction form
    724.06/998.94 = 429.22/x
  3. Step 3: Cross multiply
    724.06x = 998.94 × 429.22
  4. Step 4: Simplify right side
    724.06x = 428,765.03
  5. Step 5: Solve for x
    x = 428,765.03/724.06
  6. Step 6: Final answer
    x = 592.17

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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.