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Finding the Fourth Proportional to 643.82, 888.46 and 381.84

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Solution

The fourth proportional to 643.82, 888.46 and 381.84 is: 526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.82 : 888.46 = 381.84 : x
  2. Step 2: Convert to fraction form
    643.82/888.46 = 381.84/x
  3. Step 3: Cross multiply
    643.82x = 888.46 × 381.84
  4. Step 4: Simplify right side
    643.82x = 339,249.57
  5. Step 5: Solve for x
    x = 339,249.57/643.82
  6. Step 6: Final answer
    x = 526.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.