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Finding the Fourth Proportional to 643.06, 964.74 and 210.25

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Solution

The fourth proportional to 643.06, 964.74 and 210.25 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.06 : 964.74 = 210.25 : x
  2. Step 2: Convert to fraction form
    643.06/964.74 = 210.25/x
  3. Step 3: Cross multiply
    643.06x = 964.74 × 210.25
  4. Step 4: Simplify right side
    643.06x = 202,836.59
  5. Step 5: Solve for x
    x = 202,836.59/643.06
  6. Step 6: Final answer
    x = 315.42

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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.