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Finding the Fourth Proportional to 460.10, 635.04 and 294.73

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Solution

The fourth proportional to 460.10, 635.04 and 294.73 is: 406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 635.04 = 294.73 : x
  2. Step 2: Convert to fraction form
    460.10/635.04 = 294.73/x
  3. Step 3: Cross multiply
    460.10x = 635.04 × 294.73
  4. Step 4: Simplify right side
    460.10x = 187,165.34
  5. Step 5: Solve for x
    x = 187,165.34/460.10
  6. Step 6: Final answer
    x = 406.79

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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.