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Finding the Fourth Proportional to 644.06, 964.01 and 335.48

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Solution

The fourth proportional to 644.06, 964.01 and 335.48 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 964.01 = 335.48 : x
  2. Step 2: Convert to fraction form
    644.06/964.01 = 335.48/x
  3. Step 3: Cross multiply
    644.06x = 964.01 × 335.48
  4. Step 4: Simplify right side
    644.06x = 323,402.09
  5. Step 5: Solve for x
    x = 323,402.09/644.06
  6. Step 6: Final answer
    x = 502.13

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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.