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Finding the Fourth Proportional to 627.80, 866.55 and 406.76

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Solution

The fourth proportional to 627.80, 866.55 and 406.76 is: 561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 866.55 = 406.76 : x
  2. Step 2: Convert to fraction form
    627.80/866.55 = 406.76/x
  3. Step 3: Cross multiply
    627.80x = 866.55 × 406.76
  4. Step 4: Simplify right side
    627.80x = 352,477.88
  5. Step 5: Solve for x
    x = 352,477.88/627.80
  6. Step 6: Final answer
    x = 561.45

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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.