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Finding the Fourth Proportional to 579.53, 799.75 and 414.03

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Solution

The fourth proportional to 579.53, 799.75 and 414.03 is: 571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.53 : 799.75 = 414.03 : x
  2. Step 2: Convert to fraction form
    579.53/799.75 = 414.03/x
  3. Step 3: Cross multiply
    579.53x = 799.75 × 414.03
  4. Step 4: Simplify right side
    579.53x = 331,120.49
  5. Step 5: Solve for x
    x = 331,120.49/579.53
  6. Step 6: Final answer
    x = 571.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.