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Finding the Fourth Proportional to 464.30, 640.43 and 277.64

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Solution

The fourth proportional to 464.30, 640.43 and 277.64 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 640.43 = 277.64 : x
  2. Step 2: Convert to fraction form
    464.30/640.43 = 277.64/x
  3. Step 3: Cross multiply
    464.30x = 640.43 × 277.64
  4. Step 4: Simplify right side
    464.30x = 177,804.39
  5. Step 5: Solve for x
    x = 177,804.39/464.30
  6. Step 6: Final answer
    x = 382.96

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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.