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Finding the Fourth Proportional to 460.11, 634.89 and 294.47

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Solution

The fourth proportional to 460.11, 634.89 and 294.47 is: 406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.11 : 634.89 = 294.47 : x
  2. Step 2: Convert to fraction form
    460.11/634.89 = 294.47/x
  3. Step 3: Cross multiply
    460.11x = 634.89 × 294.47
  4. Step 4: Simplify right side
    460.11x = 186,954.71
  5. Step 5: Solve for x
    x = 186,954.71/460.11
  6. Step 6: Final answer
    x = 406.32

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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.