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Finding the Fourth Proportional to 460.36, 687.20 and 382.60

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Solution

The fourth proportional to 460.36, 687.20 and 382.60 is: 571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.36 : 687.20 = 382.60 : x
  2. Step 2: Convert to fraction form
    460.36/687.20 = 382.60/x
  3. Step 3: Cross multiply
    460.36x = 687.20 × 382.60
  4. Step 4: Simplify right side
    460.36x = 262,922.72
  5. Step 5: Solve for x
    x = 262,922.72/460.36
  6. Step 6: Final answer
    x = 571.12

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Why These Related Problems?

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