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Finding the Fourth Proportional to 460.25, 634.38 and 366.56

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Solution

The fourth proportional to 460.25, 634.38 and 366.56 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 634.38 = 366.56 : x
  2. Step 2: Convert to fraction form
    460.25/634.38 = 366.56/x
  3. Step 3: Cross multiply
    460.25x = 634.38 × 366.56
  4. Step 4: Simplify right side
    460.25x = 232,538.33
  5. Step 5: Solve for x
    x = 232,538.33/460.25
  6. Step 6: Final answer
    x = 505.24

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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.