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Finding the Fourth Proportional to 460.72, 635.96 and 305.52

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Solution

The fourth proportional to 460.72, 635.96 and 305.52 is: 421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 635.96 = 305.52 : x
  2. Step 2: Convert to fraction form
    460.72/635.96 = 305.52/x
  3. Step 3: Cross multiply
    460.72x = 635.96 × 305.52
  4. Step 4: Simplify right side
    460.72x = 194,298.50
  5. Step 5: Solve for x
    x = 194,298.50/460.72
  6. Step 6: Final answer
    x = 421.73

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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.