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Finding the Fourth Proportional to 579.53, 799.74 and 330.83

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Solution

The fourth proportional to 579.53, 799.74 and 330.83 is: 456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.53 : 799.74 = 330.83 : x
  2. Step 2: Convert to fraction form
    579.53/799.74 = 330.83/x
  3. Step 3: Cross multiply
    579.53x = 799.74 × 330.83
  4. Step 4: Simplify right side
    579.53x = 264,573.99
  5. Step 5: Solve for x
    x = 264,573.99/579.53
  6. Step 6: Final answer
    x = 456.54

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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.