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Finding the Fourth Proportional to 460.58, 635.42 and 303.50

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Solution

The fourth proportional to 460.58, 635.42 and 303.50 is: 418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 635.42 = 303.50 : x
  2. Step 2: Convert to fraction form
    460.58/635.42 = 303.50/x
  3. Step 3: Cross multiply
    460.58x = 635.42 × 303.50
  4. Step 4: Simplify right side
    460.58x = 192,845.28
  5. Step 5: Solve for x
    x = 192,845.28/460.58
  6. Step 6: Final answer
    x = 418.71

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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.