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Finding the Fourth Proportional to 579.49, 799.56 and 330.76

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Solution

The fourth proportional to 579.49, 799.56 and 330.76 is: 456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.49 : 799.56 = 330.76 : x
  2. Step 2: Convert to fraction form
    579.49/799.56 = 330.76/x
  3. Step 3: Cross multiply
    579.49x = 799.56 × 330.76
  4. Step 4: Simplify right side
    579.49x = 264,462.47
  5. Step 5: Solve for x
    x = 264,462.47/579.49
  6. Step 6: Final answer
    x = 456.37

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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.