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Finding the Fourth Proportional to 308.10, 424.09 and 234.29

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Solution

The fourth proportional to 308.10, 424.09 and 234.29 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 424.09 = 234.29 : x
  2. Step 2: Convert to fraction form
    308.10/424.09 = 234.29/x
  3. Step 3: Cross multiply
    308.10x = 424.09 × 234.29
  4. Step 4: Simplify right side
    308.10x = 99,360.08
  5. Step 5: Solve for x
    x = 99,360.08/308.10
  6. Step 6: Final answer
    x = 322.49

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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.