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Finding the Fourth Proportional to 464.07, 640.12 and 277.44

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Solution

The fourth proportional to 464.07, 640.12 and 277.44 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.07 : 640.12 = 277.44 : x
  2. Step 2: Convert to fraction form
    464.07/640.12 = 277.44/x
  3. Step 3: Cross multiply
    464.07x = 640.12 × 277.44
  4. Step 4: Simplify right side
    464.07x = 177,594.89
  5. Step 5: Solve for x
    x = 177,594.89/464.07
  6. Step 6: Final answer
    x = 382.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.