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Finding the Fourth Proportional to 460.51, 635.52 and 261.33

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Solution

The fourth proportional to 460.51, 635.52 and 261.33 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 635.52 = 261.33 : x
  2. Step 2: Convert to fraction form
    460.51/635.52 = 261.33/x
  3. Step 3: Cross multiply
    460.51x = 635.52 × 261.33
  4. Step 4: Simplify right side
    460.51x = 166,080.44
  5. Step 5: Solve for x
    x = 166,080.44/460.51
  6. Step 6: Final answer
    x = 360.64

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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.