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Finding the Fourth Proportional to 578.15, 798.22 and 357.23

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Solution

The fourth proportional to 578.15, 798.22 and 357.23 is: 493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.15 : 798.22 = 357.23 : x
  2. Step 2: Convert to fraction form
    578.15/798.22 = 357.23/x
  3. Step 3: Cross multiply
    578.15x = 798.22 × 357.23
  4. Step 4: Simplify right side
    578.15x = 285,150.57
  5. Step 5: Solve for x
    x = 285,150.57/578.15
  6. Step 6: Final answer
    x = 493.21

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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.