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Finding the Fourth Proportional to 627.48, 942.90 and 464.64

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Solution

The fourth proportional to 627.48, 942.90 and 464.64 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 942.90 = 464.64 : x
  2. Step 2: Convert to fraction form
    627.48/942.90 = 464.64/x
  3. Step 3: Cross multiply
    627.48x = 942.90 × 464.64
  4. Step 4: Simplify right side
    627.48x = 438,109.06
  5. Step 5: Solve for x
    x = 438,109.06/627.48
  6. Step 6: Final answer
    x = 698.20

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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.