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Finding the Fourth Proportional to 631.67, 871.76 and 366.21

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Solution

The fourth proportional to 631.67, 871.76 and 366.21 is: 505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 871.76 = 366.21 : x
  2. Step 2: Convert to fraction form
    631.67/871.76 = 366.21/x
  3. Step 3: Cross multiply
    631.67x = 871.76 × 366.21
  4. Step 4: Simplify right side
    631.67x = 319,247.23
  5. Step 5: Solve for x
    x = 319,247.23/631.67
  6. Step 6: Final answer
    x = 505.40

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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.