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Finding the Fourth Proportional to 460.40, 636 and 408.02

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Solution

The fourth proportional to 460.40, 636 and 408.02 is: 563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.40 : 636 = 408.02 : x
  2. Step 2: Convert to fraction form
    460.40/636 = 408.02/x
  3. Step 3: Cross multiply
    460.40x = 636 × 408.02
  4. Step 4: Simplify right side
    460.40x = 259,500.72
  5. Step 5: Solve for x
    x = 259,500.72/460.40
  6. Step 6: Final answer
    x = 563.64

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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.