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Finding the Fourth Proportional to 631.62, 871.40 and 466.23

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Solution

The fourth proportional to 631.62, 871.40 and 466.23 is: 643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.62 : 871.40 = 466.23 : x
  2. Step 2: Convert to fraction form
    631.62/871.40 = 466.23/x
  3. Step 3: Cross multiply
    631.62x = 871.40 × 466.23
  4. Step 4: Simplify right side
    631.62x = 406,270.49
  5. Step 5: Solve for x
    x = 406,270.49/631.62
  6. Step 6: Final answer
    x = 643.22

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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.