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Finding the Fourth Proportional to 643.26, 887.54 and 410.25

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Solution

The fourth proportional to 643.26, 887.54 and 410.25 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.26 : 887.54 = 410.25 : x
  2. Step 2: Convert to fraction form
    643.26/887.54 = 410.25/x
  3. Step 3: Cross multiply
    643.26x = 887.54 × 410.25
  4. Step 4: Simplify right side
    643.26x = 364,111.23
  5. Step 5: Solve for x
    x = 364,111.23/643.26
  6. Step 6: Final answer
    x = 566.04

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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.