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Finding the Fourth Proportional to 643.03, 964.71 and 277.73

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Solution

The fourth proportional to 643.03, 964.71 and 277.73 is: 416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.03 : 964.71 = 277.73 : x
  2. Step 2: Convert to fraction form
    643.03/964.71 = 277.73/x
  3. Step 3: Cross multiply
    643.03x = 964.71 × 277.73
  4. Step 4: Simplify right side
    643.03x = 267,928.91
  5. Step 5: Solve for x
    x = 267,928.91/643.03
  6. Step 6: Final answer
    x = 416.67

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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.