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Finding the Fourth Proportional to 354.21, 529.08 and 299.54

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Solution

The fourth proportional to 354.21, 529.08 and 299.54 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.21 : 529.08 = 299.54 : x
  2. Step 2: Convert to fraction form
    354.21/529.08 = 299.54/x
  3. Step 3: Cross multiply
    354.21x = 529.08 × 299.54
  4. Step 4: Simplify right side
    354.21x = 158,480.62
  5. Step 5: Solve for x
    x = 158,480.62/354.21
  6. Step 6: Final answer
    x = 447.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.