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Finding the Fourth Proportional to 460.26, 634.64 and 342.44

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Solution

The fourth proportional to 460.26, 634.64 and 342.44 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.26 : 634.64 = 342.44 : x
  2. Step 2: Convert to fraction form
    460.26/634.64 = 342.44/x
  3. Step 3: Cross multiply
    460.26x = 634.64 × 342.44
  4. Step 4: Simplify right side
    460.26x = 217,324.51
  5. Step 5: Solve for x
    x = 217,324.51/460.26
  6. Step 6: Final answer
    x = 472.18

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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.