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Finding the Fourth Proportional to 460.87, 635.65 and 294.95

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Solution

The fourth proportional to 460.87, 635.65 and 294.95 is: 406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.87 : 635.65 = 294.95 : x
  2. Step 2: Convert to fraction form
    460.87/635.65 = 294.95/x
  3. Step 3: Cross multiply
    460.87x = 635.65 × 294.95
  4. Step 4: Simplify right side
    460.87x = 187,485.82
  5. Step 5: Solve for x
    x = 187,485.82/460.87
  6. Step 6: Final answer
    x = 406.81

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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.