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Finding the Fourth Proportional to 308.21, 462.65 and 257.45

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Solution

The fourth proportional to 308.21, 462.65 and 257.45 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.21 : 462.65 = 257.45 : x
  2. Step 2: Convert to fraction form
    308.21/462.65 = 257.45/x
  3. Step 3: Cross multiply
    308.21x = 462.65 × 257.45
  4. Step 4: Simplify right side
    308.21x = 119,105.64
  5. Step 5: Solve for x
    x = 119,105.64/308.21
  6. Step 6: Final answer
    x = 386.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.