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Finding the Fourth Proportional to 643.96, 888.68 and 364.20

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Solution

The fourth proportional to 643.96, 888.68 and 364.20 is: 502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.96 : 888.68 = 364.20 : x
  2. Step 2: Convert to fraction form
    643.96/888.68 = 364.20/x
  3. Step 3: Cross multiply
    643.96x = 888.68 × 364.20
  4. Step 4: Simplify right side
    643.96x = 323,655.44
  5. Step 5: Solve for x
    x = 323,655.44/643.96
  6. Step 6: Final answer
    x = 502.60

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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.