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Finding the Fourth Proportional to 643.17, 887.49 and 410.25

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Solution

The fourth proportional to 643.17, 887.49 and 410.25 is: 566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.17 : 887.49 = 410.25 : x
  2. Step 2: Convert to fraction form
    643.17/887.49 = 410.25/x
  3. Step 3: Cross multiply
    643.17x = 887.49 × 410.25
  4. Step 4: Simplify right side
    643.17x = 364,092.77
  5. Step 5: Solve for x
    x = 364,092.77/643.17
  6. Step 6: Final answer
    x = 566.09

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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.