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Finding the Fourth Proportional to 643.24, 887.62 and 410.28

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Solution

The fourth proportional to 643.24, 887.62 and 410.28 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 887.62 = 410.28 : x
  2. Step 2: Convert to fraction form
    643.24/887.62 = 410.28/x
  3. Step 3: Cross multiply
    643.24x = 887.62 × 410.28
  4. Step 4: Simplify right side
    643.24x = 364,172.73
  5. Step 5: Solve for x
    x = 364,172.73/643.24
  6. Step 6: Final answer
    x = 566.15

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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.