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Finding the Fourth Proportional to 412.89, 618.72 and 196.01

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Solution

The fourth proportional to 412.89, 618.72 and 196.01 is: 293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 618.72 = 196.01 : x
  2. Step 2: Convert to fraction form
    412.89/618.72 = 196.01/x
  3. Step 3: Cross multiply
    412.89x = 618.72 × 196.01
  4. Step 4: Simplify right side
    412.89x = 121,275.31
  5. Step 5: Solve for x
    x = 121,275.31/412.89
  6. Step 6: Final answer
    x = 293.72

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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.