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Finding the Fourth Proportional to 579.97, 800.46 and 403.21

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Solution

The fourth proportional to 579.97, 800.46 and 403.21 is: 556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.97 : 800.46 = 403.21 : x
  2. Step 2: Convert to fraction form
    579.97/800.46 = 403.21/x
  3. Step 3: Cross multiply
    579.97x = 800.46 × 403.21
  4. Step 4: Simplify right side
    579.97x = 322,753.48
  5. Step 5: Solve for x
    x = 322,753.48/579.97
  6. Step 6: Final answer
    x = 556.50

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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.