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Finding the Fourth Proportional to 460.30, 634.97 and 349.58

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Solution

The fourth proportional to 460.30, 634.97 and 349.58 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.30 : 634.97 = 349.58 : x
  2. Step 2: Convert to fraction form
    460.30/634.97 = 349.58/x
  3. Step 3: Cross multiply
    460.30x = 634.97 × 349.58
  4. Step 4: Simplify right side
    460.30x = 221,971.86
  5. Step 5: Solve for x
    x = 221,971.86/460.30
  6. Step 6: Final answer
    x = 482.24

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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.