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Finding the Fourth Proportional to 643.61, 888.37 and 381.78

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Solution

The fourth proportional to 643.61, 888.37 and 381.78 is: 526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.61 : 888.37 = 381.78 : x
  2. Step 2: Convert to fraction form
    643.61/888.37 = 381.78/x
  3. Step 3: Cross multiply
    643.61x = 888.37 × 381.78
  4. Step 4: Simplify right side
    643.61x = 339,160.94
  5. Step 5: Solve for x
    x = 339,160.94/643.61
  6. Step 6: Final answer
    x = 526.96

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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.