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Finding the Fourth Proportional to 483.76, 668.01 and 460.27

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Solution

The fourth proportional to 483.76, 668.01 and 460.27 is: 635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.76 : 668.01 = 460.27 : x
  2. Step 2: Convert to fraction form
    483.76/668.01 = 460.27/x
  3. Step 3: Cross multiply
    483.76x = 668.01 × 460.27
  4. Step 4: Simplify right side
    483.76x = 307,464.96
  5. Step 5: Solve for x
    x = 307,464.96/483.76
  6. Step 6: Final answer
    x = 635.57

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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.