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Finding the Fourth Proportional to 643.05, 964.35 and 210.09

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Solution

The fourth proportional to 643.05, 964.35 and 210.09 is: 315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.05 : 964.35 = 210.09 : x
  2. Step 2: Convert to fraction form
    643.05/964.35 = 210.09/x
  3. Step 3: Cross multiply
    643.05x = 964.35 × 210.09
  4. Step 4: Simplify right side
    643.05x = 202,600.29
  5. Step 5: Solve for x
    x = 202,600.29/643.05
  6. Step 6: Final answer
    x = 315.06

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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.