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Finding the Fourth Proportional to 464.03, 640.36 and 257.03

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Solution

The fourth proportional to 464.03, 640.36 and 257.03 is: 354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.03 : 640.36 = 257.03 : x
  2. Step 2: Convert to fraction form
    464.03/640.36 = 257.03/x
  3. Step 3: Cross multiply
    464.03x = 640.36 × 257.03
  4. Step 4: Simplify right side
    464.03x = 164,593.97
  5. Step 5: Solve for x
    x = 164,593.97/464.03
  6. Step 6: Final answer
    x = 354.70

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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.