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Finding the Fourth Proportional to 631.97, 871.86 and 466.57

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Solution

The fourth proportional to 631.97, 871.86 and 466.57 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.97 : 871.86 = 466.57 : x
  2. Step 2: Convert to fraction form
    631.97/871.86 = 466.57/x
  3. Step 3: Cross multiply
    631.97x = 871.86 × 466.57
  4. Step 4: Simplify right side
    631.97x = 406,783.72
  5. Step 5: Solve for x
    x = 406,783.72/631.97
  6. Step 6: Final answer
    x = 643.68

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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.