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Finding the Fourth Proportional to 579.66, 799.56 and 448.44

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Solution

The fourth proportional to 579.66, 799.56 and 448.44 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.66 : 799.56 = 448.44 : x
  2. Step 2: Convert to fraction form
    579.66/799.56 = 448.44/x
  3. Step 3: Cross multiply
    579.66x = 799.56 × 448.44
  4. Step 4: Simplify right side
    579.66x = 358,554.69
  5. Step 5: Solve for x
    x = 358,554.69/579.66
  6. Step 6: Final answer
    x = 618.56

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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.