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Finding the Fourth Proportional to 627.48, 866.04 and 406.80

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Solution

The fourth proportional to 627.48, 866.04 and 406.80 is: 561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 866.04 = 406.80 : x
  2. Step 2: Convert to fraction form
    627.48/866.04 = 406.80/x
  3. Step 3: Cross multiply
    627.48x = 866.04 × 406.80
  4. Step 4: Simplify right side
    627.48x = 352,305.07
  5. Step 5: Solve for x
    x = 352,305.07/627.48
  6. Step 6: Final answer
    x = 561.46

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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.