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Finding the Fourth Proportional to 460.96, 636.16 and 264.54

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Solution

The fourth proportional to 460.96, 636.16 and 264.54 is: 365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 636.16 = 264.54 : x
  2. Step 2: Convert to fraction form
    460.96/636.16 = 264.54/x
  3. Step 3: Cross multiply
    460.96x = 636.16 × 264.54
  4. Step 4: Simplify right side
    460.96x = 168,287.25
  5. Step 5: Solve for x
    x = 168,287.25/460.96
  6. Step 6: Final answer
    x = 365.08

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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.