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Finding the Fourth Proportional to 650.45, 973.55 and 418.75

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Solution

The fourth proportional to 650.45, 973.55 and 418.75 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.45 : 973.55 = 418.75 : x
  2. Step 2: Convert to fraction form
    650.45/973.55 = 418.75/x
  3. Step 3: Cross multiply
    650.45x = 973.55 × 418.75
  4. Step 4: Simplify right side
    650.45x = 407,672.68
  5. Step 5: Solve for x
    x = 407,672.68/650.45
  6. Step 6: Final answer
    x = 626.75

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