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Finding the Fourth Proportional to 643.43, 965.32 and 278.13

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Solution

The fourth proportional to 643.43, 965.32 and 278.13 is: 417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.43 : 965.32 = 278.13 : x
  2. Step 2: Convert to fraction form
    643.43/965.32 = 278.13/x
  3. Step 3: Cross multiply
    643.43x = 965.32 × 278.13
  4. Step 4: Simplify right side
    643.43x = 268,487.38
  5. Step 5: Solve for x
    x = 268,487.38/643.43
  6. Step 6: Final answer
    x = 417.27

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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.