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Finding the Fourth Proportional to 631.62, 869.85 and 491.49

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Solution

The fourth proportional to 631.62, 869.85 and 491.49 is: 676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 869.85 = 491.49 : x
  2. Step 2: Convert to fraction form
    631.62/869.85 = 491.49/x
  3. Step 3: Cross multiply
    631.62x = 869.85 × 491.49
  4. Step 4: Simplify right side
    631.62x = 427,522.58
  5. Step 5: Solve for x
    x = 427,522.58/631.62
  6. Step 6: Final answer
    x = 676.87

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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.