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Finding the Fourth Proportional to 627.54, 866.06 and 406.54

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Solution

The fourth proportional to 627.54, 866.06 and 406.54 is: 561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.54 : 866.06 = 406.54 : x
  2. Step 2: Convert to fraction form
    627.54/866.06 = 406.54/x
  3. Step 3: Cross multiply
    627.54x = 866.06 × 406.54
  4. Step 4: Simplify right side
    627.54x = 352,088.03
  5. Step 5: Solve for x
    x = 352,088.03/627.54
  6. Step 6: Final answer
    x = 561.06

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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.