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Finding the Fourth Proportional to 631.89, 872.01 and 369.84

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Solution

The fourth proportional to 631.89, 872.01 and 369.84 is: 510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.89 : 872.01 = 369.84 : x
  2. Step 2: Convert to fraction form
    631.89/872.01 = 369.84/x
  3. Step 3: Cross multiply
    631.89x = 872.01 × 369.84
  4. Step 4: Simplify right side
    631.89x = 322,504.18
  5. Step 5: Solve for x
    x = 322,504.18/631.89
  6. Step 6: Final answer
    x = 510.38

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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.