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Finding the Fourth Proportional to 412.63, 618.13 and 206.59

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Solution

The fourth proportional to 412.63, 618.13 and 206.59 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.63 : 618.13 = 206.59 : x
  2. Step 2: Convert to fraction form
    412.63/618.13 = 206.59/x
  3. Step 3: Cross multiply
    412.63x = 618.13 × 206.59
  4. Step 4: Simplify right side
    412.63x = 127,695.87
  5. Step 5: Solve for x
    x = 127,695.87/412.63
  6. Step 6: Final answer
    x = 309.47

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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.