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Finding the Fourth Proportional to 641.63, 885.86 and 464.88

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Solution

The fourth proportional to 641.63, 885.86 and 464.88 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.63 : 885.86 = 464.88 : x
  2. Step 2: Convert to fraction form
    641.63/885.86 = 464.88/x
  3. Step 3: Cross multiply
    641.63x = 885.86 × 464.88
  4. Step 4: Simplify right side
    641.63x = 411,816.27
  5. Step 5: Solve for x
    x = 411,816.27/641.63
  6. Step 6: Final answer
    x = 641.83

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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.