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Finding the Fourth Proportional to 723.24, 998.10 and 428.52

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Solution

The fourth proportional to 723.24, 998.10 and 428.52 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 998.10 = 428.52 : x
  2. Step 2: Convert to fraction form
    723.24/998.10 = 428.52/x
  3. Step 3: Cross multiply
    723.24x = 998.10 × 428.52
  4. Step 4: Simplify right side
    723.24x = 427,705.81
  5. Step 5: Solve for x
    x = 427,705.81/723.24
  6. Step 6: Final answer
    x = 591.37

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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.