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Finding the Fourth Proportional to 464.38, 640.84 and 257.38

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Solution

The fourth proportional to 464.38, 640.84 and 257.38 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.38 : 640.84 = 257.38 : x
  2. Step 2: Convert to fraction form
    464.38/640.84 = 257.38/x
  3. Step 3: Cross multiply
    464.38x = 640.84 × 257.38
  4. Step 4: Simplify right side
    464.38x = 164,935.55
  5. Step 5: Solve for x
    x = 164,935.55/464.38
  6. Step 6: Final answer
    x = 355.18

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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.