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Finding the Fourth Proportional to 460.11, 634.64 and 294.26

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Solution

The fourth proportional to 460.11, 634.64 and 294.26 is: 405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.11 : 634.64 = 294.26 : x
  2. Step 2: Convert to fraction form
    460.11/634.64 = 294.26/x
  3. Step 3: Cross multiply
    460.11x = 634.64 × 294.26
  4. Step 4: Simplify right side
    460.11x = 186,746.73
  5. Step 5: Solve for x
    x = 186,746.73/460.11
  6. Step 6: Final answer
    x = 405.87

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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.