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Finding the Fourth Proportional to 490.77, 735.03 and 421.74

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Solution

The fourth proportional to 490.77, 735.03 and 421.74 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.77 : 735.03 = 421.74 : x
  2. Step 2: Convert to fraction form
    490.77/735.03 = 421.74/x
  3. Step 3: Cross multiply
    490.77x = 735.03 × 421.74
  4. Step 4: Simplify right side
    490.77x = 309,991.55
  5. Step 5: Solve for x
    x = 309,991.55/490.77
  6. Step 6: Final answer
    x = 631.64

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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.