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Finding the Fourth Proportional to 627.76, 865.69 and 578.09

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Solution

The fourth proportional to 627.76, 865.69 and 578.09 is: 797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 865.69 = 578.09 : x
  2. Step 2: Convert to fraction form
    627.76/865.69 = 578.09/x
  3. Step 3: Cross multiply
    627.76x = 865.69 × 578.09
  4. Step 4: Simplify right side
    627.76x = 500,448.06
  5. Step 5: Solve for x
    x = 500,448.06/627.76
  6. Step 6: Final answer
    x = 797.20

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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.