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Finding the Fourth Proportional to 578.22, 797.91 and 382.02

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Solution

The fourth proportional to 578.22, 797.91 and 382.02 is: 527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 797.91 = 382.02 : x
  2. Step 2: Convert to fraction form
    578.22/797.91 = 382.02/x
  3. Step 3: Cross multiply
    578.22x = 797.91 × 382.02
  4. Step 4: Simplify right side
    578.22x = 304,817.58
  5. Step 5: Solve for x
    x = 304,817.58/578.22
  6. Step 6: Final answer
    x = 527.17

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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.