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Finding the Fourth Proportional to 578.36, 798 and 382.20

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Solution

The fourth proportional to 578.36, 798 and 382.20 is: 527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 798 = 382.20 : x
  2. Step 2: Convert to fraction form
    578.36/798 = 382.20/x
  3. Step 3: Cross multiply
    578.36x = 798 × 382.20
  4. Step 4: Simplify right side
    578.36x = 304,995.60
  5. Step 5: Solve for x
    x = 304,995.60/578.36
  6. Step 6: Final answer
    x = 527.35

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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.