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Finding the Fourth Proportional to 641.88, 885.36 and 466.92

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Solution

The fourth proportional to 641.88, 885.36 and 466.92 is: 644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.88 : 885.36 = 466.92 : x
  2. Step 2: Convert to fraction form
    641.88/885.36 = 466.92/x
  3. Step 3: Cross multiply
    641.88x = 885.36 × 466.92
  4. Step 4: Simplify right side
    641.88x = 413,392.29
  5. Step 5: Solve for x
    x = 413,392.29/641.88
  6. Step 6: Final answer
    x = 644.03

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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.