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Finding the Fourth Proportional to 412.53, 618.72 and 138.59

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Solution

The fourth proportional to 412.53, 618.72 and 138.59 is: 207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 618.72 = 138.59 : x
  2. Step 2: Convert to fraction form
    412.53/618.72 = 138.59/x
  3. Step 3: Cross multiply
    412.53x = 618.72 × 138.59
  4. Step 4: Simplify right side
    412.53x = 85,748.40
  5. Step 5: Solve for x
    x = 85,748.40/412.53
  6. Step 6: Final answer
    x = 207.86

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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.