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Finding the Fourth Proportional to 474.25, 654.44 and 460.27

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Solution

The fourth proportional to 474.25, 654.44 and 460.27 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.25 : 654.44 = 460.27 : x
  2. Step 2: Convert to fraction form
    474.25/654.44 = 460.27/x
  3. Step 3: Cross multiply
    474.25x = 654.44 × 460.27
  4. Step 4: Simplify right side
    474.25x = 301,219.10
  5. Step 5: Solve for x
    x = 301,219.10/474.25
  6. Step 6: Final answer
    x = 635.16

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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.