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Finding the Fourth Proportional to 723.09, 997.72 and 428.41

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Solution

The fourth proportional to 723.09, 997.72 and 428.41 is: 591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.09 : 997.72 = 428.41 : x
  2. Step 2: Convert to fraction form
    723.09/997.72 = 428.41/x
  3. Step 3: Cross multiply
    723.09x = 997.72 × 428.41
  4. Step 4: Simplify right side
    723.09x = 427,433.23
  5. Step 5: Solve for x
    x = 427,433.23/723.09
  6. Step 6: Final answer
    x = 591.12

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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.