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Finding the Fourth Proportional to 490.22, 735.14 and 432.50

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Solution

The fourth proportional to 490.22, 735.14 and 432.50 is: 648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.22 : 735.14 = 432.50 : x
  2. Step 2: Convert to fraction form
    490.22/735.14 = 432.50/x
  3. Step 3: Cross multiply
    490.22x = 735.14 × 432.50
  4. Step 4: Simplify right side
    490.22x = 317,942.21
  5. Step 5: Solve for x
    x = 317,942.21/490.22
  6. Step 6: Final answer
    x = 648.58

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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.