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Finding the Fourth Proportional to 452.94, 679.03 and 412.82

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Solution

The fourth proportional to 452.94, 679.03 and 412.82 is: 618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.94 : 679.03 = 412.82 : x
  2. Step 2: Convert to fraction form
    452.94/679.03 = 412.82/x
  3. Step 3: Cross multiply
    452.94x = 679.03 × 412.82
  4. Step 4: Simplify right side
    452.94x = 280,317.16
  5. Step 5: Solve for x
    x = 280,317.16/452.94
  6. Step 6: Final answer
    x = 618.88

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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.