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Finding the Fourth Proportional to 627.80, 866.37 and 348.02

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Solution

The fourth proportional to 627.80, 866.37 and 348.02 is: 480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 866.37 = 348.02 : x
  2. Step 2: Convert to fraction form
    627.80/866.37 = 348.02/x
  3. Step 3: Cross multiply
    627.80x = 866.37 × 348.02
  4. Step 4: Simplify right side
    627.80x = 301,516.25
  5. Step 5: Solve for x
    x = 301,516.25/627.80
  6. Step 6: Final answer
    x = 480.27

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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.