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Finding the Fourth Proportional to 627.84, 867.16 and 480.40

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Solution

The fourth proportional to 627.84, 867.16 and 480.40 is: 663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 867.16 = 480.40 : x
  2. Step 2: Convert to fraction form
    627.84/867.16 = 480.40/x
  3. Step 3: Cross multiply
    627.84x = 867.16 × 480.40
  4. Step 4: Simplify right side
    627.84x = 416,583.66
  5. Step 5: Solve for x
    x = 416,583.66/627.84
  6. Step 6: Final answer
    x = 663.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.