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Finding the Fourth Proportional to 578.52, 797.58 and 447.96

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Solution

The fourth proportional to 578.52, 797.58 and 447.96 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 797.58 = 447.96 : x
  2. Step 2: Convert to fraction form
    578.52/797.58 = 447.96/x
  3. Step 3: Cross multiply
    578.52x = 797.58 × 447.96
  4. Step 4: Simplify right side
    578.52x = 357,283.94
  5. Step 5: Solve for x
    x = 357,283.94/578.52
  6. Step 6: Final answer
    x = 617.58

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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.