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Finding the Fourth Proportional to 308.76, 464.97 and 260.43

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Solution

The fourth proportional to 308.76, 464.97 and 260.43 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.76 : 464.97 = 260.43 : x
  2. Step 2: Convert to fraction form
    308.76/464.97 = 260.43/x
  3. Step 3: Cross multiply
    308.76x = 464.97 × 260.43
  4. Step 4: Simplify right side
    308.76x = 121,092.14
  5. Step 5: Solve for x
    x = 121,092.14/308.76
  6. Step 6: Final answer
    x = 392.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.