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Finding the Fourth Proportional to 723, 997.74 and 412.56

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Solution

The fourth proportional to 723, 997.74 and 412.56 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 997.74 = 412.56 : x
  2. Step 2: Convert to fraction form
    723/997.74 = 412.56/x
  3. Step 3: Cross multiply
    723x = 997.74 × 412.56
  4. Step 4: Simplify right side
    723x = 411,627.61
  5. Step 5: Solve for x
    x = 411,627.61/723
  6. Step 6: Final answer
    x = 569.33

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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.