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Finding the Fourth Proportional to 460.30, 634.89 and 294.52

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Solution

The fourth proportional to 460.30, 634.89 and 294.52 is: 406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.30 : 634.89 = 294.52 : x
  2. Step 2: Convert to fraction form
    460.30/634.89 = 294.52/x
  3. Step 3: Cross multiply
    460.30x = 634.89 × 294.52
  4. Step 4: Simplify right side
    460.30x = 186,987.80
  5. Step 5: Solve for x
    x = 186,987.80/460.30
  6. Step 6: Final answer
    x = 406.23

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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.