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Finding the Fourth Proportional to 650.20, 975.30 and 419.35

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Solution

The fourth proportional to 650.20, 975.30 and 419.35 is: 629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.20 : 975.30 = 419.35 : x
  2. Step 2: Convert to fraction form
    650.20/975.30 = 419.35/x
  3. Step 3: Cross multiply
    650.20x = 975.30 × 419.35
  4. Step 4: Simplify right side
    650.20x = 408,992.06
  5. Step 5: Solve for x
    x = 408,992.06/650.20
  6. Step 6: Final answer
    x = 629.03

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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.