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Finding the Fourth Proportional to 640.36, 958.32 and 523.44

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Solution

The fourth proportional to 640.36, 958.32 and 523.44 is: 783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.36 : 958.32 = 523.44 : x
  2. Step 2: Convert to fraction form
    640.36/958.32 = 523.44/x
  3. Step 3: Cross multiply
    640.36x = 958.32 × 523.44
  4. Step 4: Simplify right side
    640.36x = 501,623.02
  5. Step 5: Solve for x
    x = 501,623.02/640.36
  6. Step 6: Final answer
    x = 783.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.