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Finding the Fourth Proportional to 643.95, 965.41 and 278.71

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Solution

The fourth proportional to 643.95, 965.41 and 278.71 is: 417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.95 : 965.41 = 278.71 : x
  2. Step 2: Convert to fraction form
    643.95/965.41 = 278.71/x
  3. Step 3: Cross multiply
    643.95x = 965.41 × 278.71
  4. Step 4: Simplify right side
    643.95x = 269,066.31
  5. Step 5: Solve for x
    x = 269,066.31/643.95
  6. Step 6: Final answer
    x = 417.84

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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.