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Finding the Fourth Proportional to 490.11, 735.35 and 353.31

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Solution

The fourth proportional to 490.11, 735.35 and 353.31 is: 530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.11 : 735.35 = 353.31 : x
  2. Step 2: Convert to fraction form
    490.11/735.35 = 353.31/x
  3. Step 3: Cross multiply
    490.11x = 735.35 × 353.31
  4. Step 4: Simplify right side
    490.11x = 259,804.74
  5. Step 5: Solve for x
    x = 259,804.74/490.11
  6. Step 6: Final answer
    x = 530.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.