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Finding the Fourth Proportional to 627.55, 866.40 and 418.03

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Solution

The fourth proportional to 627.55, 866.40 and 418.03 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.55 : 866.40 = 418.03 : x
  2. Step 2: Convert to fraction form
    627.55/866.40 = 418.03/x
  3. Step 3: Cross multiply
    627.55x = 866.40 × 418.03
  4. Step 4: Simplify right side
    627.55x = 362,181.19
  5. Step 5: Solve for x
    x = 362,181.19/627.55
  6. Step 6: Final answer
    x = 577.14

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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.