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Finding the Fourth Proportional to 627.24, 941.52 and 464.40

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Solution

The fourth proportional to 627.24, 941.52 and 464.40 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 941.52 = 464.40 : x
  2. Step 2: Convert to fraction form
    627.24/941.52 = 464.40/x
  3. Step 3: Cross multiply
    627.24x = 941.52 × 464.40
  4. Step 4: Simplify right side
    627.24x = 437,241.89
  5. Step 5: Solve for x
    x = 437,241.89/627.24
  6. Step 6: Final answer
    x = 697.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.