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Finding the Fourth Proportional to 578.08, 799.04 and 447.52

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Solution

The fourth proportional to 578.08, 799.04 and 447.52 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 799.04 = 447.52 : x
  2. Step 2: Convert to fraction form
    578.08/799.04 = 447.52/x
  3. Step 3: Cross multiply
    578.08x = 799.04 × 447.52
  4. Step 4: Simplify right side
    578.08x = 357,586.38
  5. Step 5: Solve for x
    x = 357,586.38/578.08
  6. Step 6: Final answer
    x = 618.58

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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.