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Finding the Fourth Proportional to 578.12, 798.82 and 454.12

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Solution

The fourth proportional to 578.12, 798.82 and 454.12 is: 627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.12 : 798.82 = 454.12 : x
  2. Step 2: Convert to fraction form
    578.12/798.82 = 454.12/x
  3. Step 3: Cross multiply
    578.12x = 798.82 × 454.12
  4. Step 4: Simplify right side
    578.12x = 362,760.14
  5. Step 5: Solve for x
    x = 362,760.14/578.12
  6. Step 6: Final answer
    x = 627.48

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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.