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Finding the Fourth Proportional to 412.75, 618.58 and 230.23

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Solution

The fourth proportional to 412.75, 618.58 and 230.23 is: 345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.75 : 618.58 = 230.23 : x
  2. Step 2: Convert to fraction form
    412.75/618.58 = 230.23/x
  3. Step 3: Cross multiply
    412.75x = 618.58 × 230.23
  4. Step 4: Simplify right side
    412.75x = 142,415.67
  5. Step 5: Solve for x
    x = 142,415.67/412.75
  6. Step 6: Final answer
    x = 345.04

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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.