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Finding the Fourth Proportional to 306.24, 424.43 and 300.48

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Solution

The fourth proportional to 306.24, 424.43 and 300.48 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 424.43 = 300.48 : x
  2. Step 2: Convert to fraction form
    306.24/424.43 = 300.48/x
  3. Step 3: Cross multiply
    306.24x = 424.43 × 300.48
  4. Step 4: Simplify right side
    306.24x = 127,532.73
  5. Step 5: Solve for x
    x = 127,532.73/306.24
  6. Step 6: Final answer
    x = 416.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.