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Finding the Fourth Proportional to 723.25, 998.10 and 428.41

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Solution

The fourth proportional to 723.25, 998.10 and 428.41 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.25 : 998.10 = 428.41 : x
  2. Step 2: Convert to fraction form
    723.25/998.10 = 428.41/x
  3. Step 3: Cross multiply
    723.25x = 998.10 × 428.41
  4. Step 4: Simplify right side
    723.25x = 427,596.02
  5. Step 5: Solve for x
    x = 427,596.02/723.25
  6. Step 6: Final answer
    x = 591.21

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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.