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Finding the Fourth Proportional to 641.68, 885.28 and 408.64

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Solution

The fourth proportional to 641.68, 885.28 and 408.64 is: 563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.68 : 885.28 = 408.64 : x
  2. Step 2: Convert to fraction form
    641.68/885.28 = 408.64/x
  3. Step 3: Cross multiply
    641.68x = 885.28 × 408.64
  4. Step 4: Simplify right side
    641.68x = 361,760.82
  5. Step 5: Solve for x
    x = 361,760.82/641.68
  6. Step 6: Final answer
    x = 563.77

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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.