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Finding the Fourth Proportional to 631.65, 871.67 and 366.13

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Solution

The fourth proportional to 631.65, 871.67 and 366.13 is: 505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.65 : 871.67 = 366.13 : x
  2. Step 2: Convert to fraction form
    631.65/871.67 = 366.13/x
  3. Step 3: Cross multiply
    631.65x = 871.67 × 366.13
  4. Step 4: Simplify right side
    631.65x = 319,144.54
  5. Step 5: Solve for x
    x = 319,144.54/631.65
  6. Step 6: Final answer
    x = 505.26

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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.