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Finding the Fourth Proportional to 723.12, 997.76 and 428.42

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Solution

The fourth proportional to 723.12, 997.76 and 428.42 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.12 : 997.76 = 428.42 : x
  2. Step 2: Convert to fraction form
    723.12/997.76 = 428.42/x
  3. Step 3: Cross multiply
    723.12x = 997.76 × 428.42
  4. Step 4: Simplify right side
    723.12x = 427,460.34
  5. Step 5: Solve for x
    x = 427,460.34/723.12
  6. Step 6: Final answer
    x = 591.13

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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.