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Finding the Fourth Proportional to 643.06, 964.66 and 277.88

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Solution

The fourth proportional to 643.06, 964.66 and 277.88 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.06 : 964.66 = 277.88 : x
  2. Step 2: Convert to fraction form
    643.06/964.66 = 277.88/x
  3. Step 3: Cross multiply
    643.06x = 964.66 × 277.88
  4. Step 4: Simplify right side
    643.06x = 268,059.72
  5. Step 5: Solve for x
    x = 268,059.72/643.06
  6. Step 6: Final answer
    x = 416.85

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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.