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Finding the Fourth Proportional to 308.51, 464.58 and 268.41

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Solution

The fourth proportional to 308.51, 464.58 and 268.41 is: 404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.51 : 464.58 = 268.41 : x
  2. Step 2: Convert to fraction form
    308.51/464.58 = 268.41/x
  3. Step 3: Cross multiply
    308.51x = 464.58 × 268.41
  4. Step 4: Simplify right side
    308.51x = 124,697.92
  5. Step 5: Solve for x
    x = 124,697.92/308.51
  6. Step 6: Final answer
    x = 404.20

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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.