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Finding the Fourth Proportional to 351.49, 484.98 and 299.24

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Solution

The fourth proportional to 351.49, 484.98 and 299.24 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.49 : 484.98 = 299.24 : x
  2. Step 2: Convert to fraction form
    351.49/484.98 = 299.24/x
  3. Step 3: Cross multiply
    351.49x = 484.98 × 299.24
  4. Step 4: Simplify right side
    351.49x = 145,125.42
  5. Step 5: Solve for x
    x = 145,125.42/351.49
  6. Step 6: Final answer
    x = 412.89

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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.