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Finding the Fourth Proportional to 643.01, 964.65 and 277.80

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Solution

The fourth proportional to 643.01, 964.65 and 277.80 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 964.65 = 277.80 : x
  2. Step 2: Convert to fraction form
    643.01/964.65 = 277.80/x
  3. Step 3: Cross multiply
    643.01x = 964.65 × 277.80
  4. Step 4: Simplify right side
    643.01x = 267,979.77
  5. Step 5: Solve for x
    x = 267,979.77/643.01
  6. Step 6: Final answer
    x = 416.76

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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.