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Finding the Fourth Proportional to 460.80, 687.60 and 449.82

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Solution

The fourth proportional to 460.80, 687.60 and 449.82 is: 671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 687.60 = 449.82 : x
  2. Step 2: Convert to fraction form
    460.80/687.60 = 449.82/x
  3. Step 3: Cross multiply
    460.80x = 687.60 × 449.82
  4. Step 4: Simplify right side
    460.80x = 309,296.23
  5. Step 5: Solve for x
    x = 309,296.23/460.80
  6. Step 6: Final answer
    x = 671.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.