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Finding the Fourth Proportional to 643.98, 888.84 and 408.26

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Solution

The fourth proportional to 643.98, 888.84 and 408.26 is: 563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.98 : 888.84 = 408.26 : x
  2. Step 2: Convert to fraction form
    643.98/888.84 = 408.26/x
  3. Step 3: Cross multiply
    643.98x = 888.84 × 408.26
  4. Step 4: Simplify right side
    643.98x = 362,875.04
  5. Step 5: Solve for x
    x = 362,875.04/643.98
  6. Step 6: Final answer
    x = 563.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.