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Finding the Fourth Proportional to 643.72, 887.94 and 410.44

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Solution

The fourth proportional to 643.72, 887.94 and 410.44 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.72 : 887.94 = 410.44 : x
  2. Step 2: Convert to fraction form
    643.72/887.94 = 410.44/x
  3. Step 3: Cross multiply
    643.72x = 887.94 × 410.44
  4. Step 4: Simplify right side
    643.72x = 364,446.09
  5. Step 5: Solve for x
    x = 364,446.09/643.72
  6. Step 6: Final answer
    x = 566.16

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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.