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Finding the Fourth Proportional to 627.68, 865.74 and 480.06

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Solution

The fourth proportional to 627.68, 865.74 and 480.06 is: 662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.68 : 865.74 = 480.06 : x
  2. Step 2: Convert to fraction form
    627.68/865.74 = 480.06/x
  3. Step 3: Cross multiply
    627.68x = 865.74 × 480.06
  4. Step 4: Simplify right side
    627.68x = 415,607.14
  5. Step 5: Solve for x
    x = 415,607.14/627.68
  6. Step 6: Final answer
    x = 662.13

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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.