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Finding the Fourth Proportional to 460.94, 636.02 and 261.76

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Solution

The fourth proportional to 460.94, 636.02 and 261.76 is: 361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.94 : 636.02 = 261.76 : x
  2. Step 2: Convert to fraction form
    460.94/636.02 = 261.76/x
  3. Step 3: Cross multiply
    460.94x = 636.02 × 261.76
  4. Step 4: Simplify right side
    460.94x = 166,484.60
  5. Step 5: Solve for x
    x = 166,484.60/460.94
  6. Step 6: Final answer
    x = 361.18

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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.