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Finding the Fourth Proportional to 643.17, 887.52 and 377.62

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Solution

The fourth proportional to 643.17, 887.52 and 377.62 is: 521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.17 : 887.52 = 377.62 : x
  2. Step 2: Convert to fraction form
    643.17/887.52 = 377.62/x
  3. Step 3: Cross multiply
    643.17x = 887.52 × 377.62
  4. Step 4: Simplify right side
    643.17x = 335,143.56
  5. Step 5: Solve for x
    x = 335,143.56/643.17
  6. Step 6: Final answer
    x = 521.08

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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.