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Finding the Fourth Proportional to 308.48, 423.92 and 294.20

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Solution

The fourth proportional to 308.48, 423.92 and 294.20 is: 404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.48 : 423.92 = 294.20 : x
  2. Step 2: Convert to fraction form
    308.48/423.92 = 294.20/x
  3. Step 3: Cross multiply
    308.48x = 423.92 × 294.20
  4. Step 4: Simplify right side
    308.48x = 124,715.81
  5. Step 5: Solve for x
    x = 124,715.81/308.48
  6. Step 6: Final answer
    x = 404.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.