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Finding the Fourth Proportional to 631.82, 872.10 and 369.92

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Solution

The fourth proportional to 631.82, 872.10 and 369.92 is: 510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 872.10 = 369.92 : x
  2. Step 2: Convert to fraction form
    631.82/872.10 = 369.92/x
  3. Step 3: Cross multiply
    631.82x = 872.10 × 369.92
  4. Step 4: Simplify right side
    631.82x = 322,602.87
  5. Step 5: Solve for x
    x = 322,602.87/631.82
  6. Step 6: Final answer
    x = 510.60

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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.