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Finding the Fourth Proportional to 578.54, 798.26 and 447.93

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Solution

The fourth proportional to 578.54, 798.26 and 447.93 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.54 : 798.26 = 447.93 : x
  2. Step 2: Convert to fraction form
    578.54/798.26 = 447.93/x
  3. Step 3: Cross multiply
    578.54x = 798.26 × 447.93
  4. Step 4: Simplify right side
    578.54x = 357,562.36
  5. Step 5: Solve for x
    x = 357,562.36/578.54
  6. Step 6: Final answer
    x = 618.04

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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.