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Finding the Fourth Proportional to 643.19, 886.77 and 421.75

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Solution

The fourth proportional to 643.19, 886.77 and 421.75 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.19 : 886.77 = 421.75 : x
  2. Step 2: Convert to fraction form
    643.19/886.77 = 421.75/x
  3. Step 3: Cross multiply
    643.19x = 886.77 × 421.75
  4. Step 4: Simplify right side
    643.19x = 373,993.03
  5. Step 5: Solve for x
    x = 373,993.03/643.19
  6. Step 6: Final answer
    x = 581.47

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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.