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Finding the Fourth Proportional to 643.36, 964.24 and 335.05

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Solution

The fourth proportional to 643.36, 964.24 and 335.05 is: 502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.36 : 964.24 = 335.05 : x
  2. Step 2: Convert to fraction form
    643.36/964.24 = 335.05/x
  3. Step 3: Cross multiply
    643.36x = 964.24 × 335.05
  4. Step 4: Simplify right side
    643.36x = 323,068.61
  5. Step 5: Solve for x
    x = 323,068.61/643.36
  6. Step 6: Final answer
    x = 502.16

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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.