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Finding the Fourth Proportional to 461.93, 635.24 and 367.56

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Solution

The fourth proportional to 461.93, 635.24 and 367.56 is: 505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 635.24 = 367.56 : x
  2. Step 2: Convert to fraction form
    461.93/635.24 = 367.56/x
  3. Step 3: Cross multiply
    461.93x = 635.24 × 367.56
  4. Step 4: Simplify right side
    461.93x = 233,486.98
  5. Step 5: Solve for x
    x = 233,486.98/461.93
  6. Step 6: Final answer
    x = 505.47

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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.