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Finding the Fourth Proportional to 460.94, 635.85 and 336.47

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Solution

The fourth proportional to 460.94, 635.85 and 336.47 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.94 : 635.85 = 336.47 : x
  2. Step 2: Convert to fraction form
    460.94/635.85 = 336.47/x
  3. Step 3: Cross multiply
    460.94x = 635.85 × 336.47
  4. Step 4: Simplify right side
    460.94x = 213,941.27
  5. Step 5: Solve for x
    x = 213,941.27/460.94
  6. Step 6: Final answer
    x = 464.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.