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Finding the Fourth Proportional to 308.41, 424.64 and 234.29

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Solution

The fourth proportional to 308.41, 424.64 and 234.29 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.41 : 424.64 = 234.29 : x
  2. Step 2: Convert to fraction form
    308.41/424.64 = 234.29/x
  3. Step 3: Cross multiply
    308.41x = 424.64 × 234.29
  4. Step 4: Simplify right side
    308.41x = 99,490.55
  5. Step 5: Solve for x
    x = 99,490.55/308.41
  6. Step 6: Final answer
    x = 322.59

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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.