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Finding the Fourth Proportional to 643.16, 964.92 and 277.97

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Solution

The fourth proportional to 643.16, 964.92 and 277.97 is: 417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 964.92 = 277.97 : x
  2. Step 2: Convert to fraction form
    643.16/964.92 = 277.97/x
  3. Step 3: Cross multiply
    643.16x = 964.92 × 277.97
  4. Step 4: Simplify right side
    643.16x = 268,218.81
  5. Step 5: Solve for x
    x = 268,218.81/643.16
  6. Step 6: Final answer
    x = 417.03

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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.