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Finding the Fourth Proportional to 643.10, 965.10 and 412.55

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Solution

The fourth proportional to 643.10, 965.10 and 412.55 is: 619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 965.10 = 412.55 : x
  2. Step 2: Convert to fraction form
    643.10/965.10 = 412.55/x
  3. Step 3: Cross multiply
    643.10x = 965.10 × 412.55
  4. Step 4: Simplify right side
    643.10x = 398,152.01
  5. Step 5: Solve for x
    x = 398,152.01/643.10
  6. Step 6: Final answer
    x = 619.11

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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.