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Finding the Fourth Proportional to 460.82, 636.05 and 295.18

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Solution

The fourth proportional to 460.82, 636.05 and 295.18 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 636.05 = 295.18 : x
  2. Step 2: Convert to fraction form
    460.82/636.05 = 295.18/x
  3. Step 3: Cross multiply
    460.82x = 636.05 × 295.18
  4. Step 4: Simplify right side
    460.82x = 187,748.39
  5. Step 5: Solve for x
    x = 187,748.39/460.82
  6. Step 6: Final answer
    x = 407.42

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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.