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Finding the Fourth Proportional to 464.79, 640.67 and 371.24

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Solution

The fourth proportional to 464.79, 640.67 and 371.24 is: 511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 640.67 = 371.24 : x
  2. Step 2: Convert to fraction form
    464.79/640.67 = 371.24/x
  3. Step 3: Cross multiply
    464.79x = 640.67 × 371.24
  4. Step 4: Simplify right side
    464.79x = 237,842.33
  5. Step 5: Solve for x
    x = 237,842.33/464.79
  6. Step 6: Final answer
    x = 511.72

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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.